WILL MARK BRAINLEST
What is factoring? Why is it useful to try to factor out the GCF first when factoring?

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain.

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6 .

What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

Answers

Answer 1

Answer:

What is factoring?

Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.

Why is it useful to try to factor out the GCF first when factoring?

Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain

Factoring take away the multiplication, to factorize a polynomial it means take apart what  is multiplied. the best example is a²+b²+2ab ( multiplied)

factorize :(a+b)(a+b)   take apart what is multiplied

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6

x²-25  =(x+5)(x-5)

3x²-12x-15 = 3(x²-4x-5)  GCF=3

3(x-5)(x+1)

x³+2x²+3x+6  (x+2) common factor

(x+2)(x²+3)

What are the key features needed to graph a polynomial function?

the key features are the vertex, axis of symmetry, x and y intercept

Explain how to find these key features to sketch a rough graph of a polynomial function

parabola : y=ax²+bx+c

ex: 3x²-12x-15

find vertex (h,k)

h=-b/2a =-(-12)/2(3)=2

k=f(h)=f(2)=3(2)²-12(2)-15

k=12-24-15=-27

vertex=(2,-27)

x intercept is when the graph =0 (y=0)

y intercept when x=0 then y= the constant c and where the graph cross the y axis

axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.

example from real life:

A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it  the length is 4 feet than the width , and the height is 4

solve:

length=W+4

height=1/3 w

V=length* width* height

240=(w+4)(w)(4)

351= 4w²+16w

4w²+16w-240=0

take 4 as common factor

4(w²+4w-60)

now factorize:

4(w-6)(w+10)=0

Step-by-step explanation:

PLEASE BRAINLIEST


Related Questions

Use variables to write an equation that represents the relationship between the time x and the distance y . A person runs 175 yards per minute.

An equation that represents the relationship is y=______

Answers

Y = 175 yds/min x. .
Y= 175 yards per minute

Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?
HELP !!! PLSS

Answers

Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

At midnight the temperature was 30°F by 6 o'clock in the morning it was dropped 15° & by noon increased by 22° what was the temperature at noon?

Answers

Answer: 37°F

let me know if this is wrong

Step-by-step explanation:

30-15=15

15+22=37

Can sum1 give me the right answer pls like seriously

Answers

The person above me is incorrect.
ANSWER: -77 5/8

The formula for finding the volume of a rectangular prism is V = Bh. A rectangular prism with dimensions _________ will have a volume of 150 cubic units.

Answers

Answer: 10 * 5 * 3

Step-by-step explanation:

We want to find a base and a height that will multiply together to equal 150 [tex]units^{3}[/tex].

One solution is a [tex]B = 50 units^{3}[/tex] and [tex]h = 3 units^{3}[/tex].

Thus we need a length and width of the base that will multiply together to equal 50 [tex]units^{2}[/tex]. One solution is 10 units * 5 units.

Putting this all together, we have a solution of 10 units * 5 units * 3 units, which will have volume of 150 cubic units.

Solve the equations: 3x+5 = 2(x+1)-5

Answers

Answer:

-8

Step-by-step explanation:

3x+5=2(x+1)-5

3x+5=2x+2-5

3x-2x=2-5-5

x=-3-5

x=3+5

x=-8.

Hope it helps if it helps don't forget to like and mark me

Answer:

= −8

Step-by-step explanation:

Question 4
Show the work please

Answers

I think it’s b or a I’m not sure tho

Solve the linear system using substitution. Show your work.
-8x + 3y = -33
y = -5x + 35

Answers

Answer:

x = 6  y = 5

Step-by-step explanation:

-8x + 3y = -33

y = -5x +35

-8x + 3(-5x + 35) = -33

-8x - 15x + 105 = -33

-23x + 105 = -33

-23x = -138

x = 6

-8(6) + 3y = -33

-48 + 3y = -33

3y = 15

y = 5

Answer if you know
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWERS
Thank you :)

Answers

I hope this helped plz award brainiest

Just fill in the boxes please

Answers

Answer:

3

9

9

Step-by-step explanation:

Aimee has 2 sisters in her family. She thinks the probability of a family having 3 children who are all girls is ¼ because there can be 0 girls, 1 girl, 2 girls or 3 girls.

Aimee designs a simulation to test her prediction. She flips a coin 3 times in a row and records the results. She uses heads to represent a girl and tails to represent a boy. After 10 trials of this simulation, Aimee gets the following results.

1 2 3 4 5 6 7 8 9 10
BBB GBB GGG GGB BBG GGB BGG BGB BBG GBB

Does ¼ seem like a reasonable probability of having 3 girls? Use a tree diagram to model and support your thinking.
Estimate the probability of having 3 girls using the results from Aimee’s simulation.

Answers

Answer:

Step-by-step explanation:

Can sum1 answer pls really need help

Answers

Answer:

B

Step-by-step explanation:

This is because the interquartile range for 20-40 is 40 while the interquartile range for people 50-70 is 30

Match the number with its opposite. (4 points)

Column A
1.
9.2 :
9.2
2.
-2.9 :
-2.9
3.
-1.4:
-1.4
4.
4.1:
4.1
Column B
a.
-9.2
b.
-4.1
c.
2.9
d.
1.4
Question 2 (3 points)
(03.03)

The point R is halfway between the integers on the number line below and represents the number . (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).

Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.

(3 points)

Blank 1:
Question 3 (4 points)
(03.03)

On which number line do the points represent negative 4 and 1 over 2 and +3? (4 points)

a
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.

b
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.

c
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.

d
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0.

Question 4 (3 points)
(03.03)

On which number line are –6 and its opposite shown? (3 points)

a
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point is placed on the 6th tick mark to the left of 0. A solid, blue point is on 0.

b
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point is placed on the 6th tick mark to the left of 0. A solid, blue point is on the 6th tick mark to the right of 0.

c
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point is placed on 0. A solid, blue point is on the 6th tick mark to the right of 0.

d
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A solid, blue point placed on the 6th tick mark to the left of 0. A solid, blue point mark is on the 3rd tick mark to the left of 0.

Question 5 (3 points)
(03.03)

Which of the following describes the location of the opposite of the number that R represents on this line?

vertical number line from negative 6 to positive 6 in increments of 2 is shown. Only the whole even numbers are labeled. A point labeled R is placed on the 6th tick mark below the 0.

(3 points)

a
At a distance of 6 tick marks below 0
b
At a distance of 6 tick marks above 0
c
At a distance of 12 tick marks below 0
d
At a distance of 12 tick marks above 0
Question 6 (3 points)
(03.03)
Which of the following values is equal to – (–8.2)? (3 points)

a
−8.2
b
0
c
8
d
8.2

Answers

Answer:

9.2 : - 2.9

2.

-2.9 : 9.2

3.

-1.4: 4.1

-1.4

4.

4.1: -1.4

Step-by-step explanation:

I think thats it i didn't undertsnad th equestion enough, and the way its written ouut is weird

who ever gets this right will get a brainlest

Answers

It was increased by 15%

ANSWER BOTH OR REPORT

Find the 3rd Quartile of:
1117, 1465, 513, 437, 1038, 954, 650, 893, 456, 1018

Find the 1st and 3rd Quartile of:
346, 250, 433, 369, 422, and 298.

Answers

437 and 250 and 422 there you goooooo

screenshotted question under the cut

Answers

Answer:

2338.27 should be the answer

Step-by-step explanation:

Which one of the numbers does not belong in the following series?
2 - 5 - 7 - 14 - 41 - 122 - 365 - 1094 - 3281
A-FIVE
B-SEVEN
C-FOURTEEN
D-FORTY-ONE
E-ONE HUNDRED TWENTY-TWO

Answers

Answer:

i think 7

Step-by-step explanation:

Option B: SEVEN

The number that goes not belong in the following series is SEVEN

Given :

The numbers in the series is

2 - 5 - 7 - 14 - 41 - 122 - 365 - 1094 - 3281

First number is 2

[tex]2 \cdot 3 -1=5\\[/tex]

Lets multiply the previous term by 3  and subtract 1 to check the other terms

[tex]5 \cdot 3 -1= 14\\14 \cdot 3 -1= 41\\41 \cdot 3 -1= 122\\122 \cdot 3 -1= 365\\365 \cdot 3 -1= 1094\\1094 \cdot 3 -1= 3281\\[/tex]

From the series we can see that 7 does not belong to the series .

So,  SEVEN does not belong to the series .

Learn more :  brainly.in/question/7279677

Please help this one is really confusing.

Answers

There is no answer choice for the question

Write an algebraic expression that is the quotient of a variable term and a constant.
:( sorry im so bad at these. brainlyest will go to who awnsers it first c:

Answers

9514 1404 393

Answer:

  (47xy)/(6√3)

Step-by-step explanation:

A variable term is one that contains one or more variables, possibly with a coefficient. We can use 47xy as our variable term.

A constant is some number, or a representative of a particular number. π and e and Ф are representative of irrational constants. Of course, any number is also a constant. We can use 6√3 as our constant.

A quotient is formed when a first value is divided by a second value.

Here is the quotient of our variable term and our constant:

  [tex]\dfrac{47xy}{6\sqrt{3}}[/tex]

You choose between red or yellow wallpaper, and orange, red, green, blue, or purple carpet. Use the fundamental counting principle to find the total number of possible outcomes when you select one color of wallpaper and one color of carpet. *
7
5
10
12

Answers

Answer:

C. 10

Step-by-step explanation:

There are 5 choices of carpet, and 2 choices of wallpaper. This means that there are only 10 possible outcomes.

The total number of possible outcomes when you select one color of wallpaper and one color of carpet is,

⇒ 10

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

You choose between red or yellow wallpaper,

And, orange, red, green, blue, or purple carpet.

Since, There are 2 wallpapers.

And, There are 5 carpets.

Hence, The total number of possible outcomes when you select one color of wallpaper and one color of carpet is,

⇒ ²C₁ × ⁵C₁

⇒ 2 × 5

⇒ 10

Thus, The total number of possible outcomes when you select one color of wallpaper and one color of carpet is, 10

Learn more about the combination visit:

brainly.com/question/28065038

#SPJ3

20 points! need these answers asap!
1.) The ratio of the
Choose...
(diameter, circumference, or radius)
of a circle to its
Choose... (diameter, circumference, or radius)
is approximately 3.14.
2.) Fill in the blank with the correct response.
If the diameter of a circle is 12 feet, then the radius of the circle is ___ feet.
3.)What is the perimeter of the following figure in centimeters?
A. 7.5 cm
B. 57 cm
C. 28.2 cm
D. 5.7 cm
the picture goes for the 3rd question btw

Answers

Answer:

1. diameter, radius

2. 6 feet

3. 28.2

Step-by-step explanation:

find the missing angle in the triangle

Answers

Answer:

[tex]a + 95 \degree + 53\degree = 180\degree \\ a = 180\degree - (95 + 53)\degree \\ a = 32\degree[/tex]

Answer:

32

Step-by-step explanation:

can anybody help me with these questions NOOOOOOOOOO LINKSSS PLEASEEEEEE
WILL GIVE BRAINLIEST

Answers

Answer:

no idea sorry

please i really need help

Answers

Hey! So the the answer to your question is 77.

This is because to find out how many grapefruits they sold, you would first need to find the two numbers to you can multiple 10 and 1 by so they would add up to 307 and 100. The numbers that work are 23 and 77. So, when you multiply 10 to 23 (10 because it’s the cost of nuts), you would get the answer of 230. Then you would subtract 307 by 230 because 307 is the total amount of money they earned from selling. When you do that, you would get 77. After that, you multiply 1 times 77 because the cost of the grapefruit is $1. When you add 23 and 77, you should get 100. The total items they sold. When you add 230 and 77, youd get 307. So, there were 77 grapefruits that they sold.

Hopefully this is right

You just purchased new shoes for $150.99, a shirt for $32.99, and a new soccer ball for $10.99 at Nike. If the sales tax is 8%, how much will your total bill cost?

(help me please and thank you this is due today and this is the last question)

Answers

Answer:20$ and 50% off

Step-by-step also i made 100% first try

$20 & 50% off pretty sure that’s the answer

An artist mixes paint to make new colors.
She uses 1/3 cup of red paint and 1/3 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available, how many batches of orange paint can she make?
Enter your answer in the box.

Answers

Answer:

6 batches of orange paint can be made.

Step-by-step explanation:

2 cups of red paint can go to 6 cups of 1/3 a batch of red paint, and 3 cups of yellow paint can go to 9 cups of 1/3 a batch of yellow paint.

She then combines 6 cups of 1/3 cups of red paint with 6 cups of 1/3 cups of yellow paint. The reason it is not 9 is that she doesn't have 3 extra 1/3 cups of red paint.

6 batches of orange paint can be made, with 3 extra 1/3 cups of yellow paint.

HELP ASAP ASAP!! NO LINKS PLEASEEEE OR U WILL BE REPORTED, I NEED AN ANSWER WITH EXPLANATION AND WORK SHOWN OR EXPLAINED, WILL GIVE BRAINIEST!!

Answers

Um do you still need help with this? If so, I can work on it

You invested $600 in a savings account that earns simple interest. After 20 years the account had earned $720 in interest. What was the interest rate on the account? Your answer can be in decimal or percent form.

Answers

1% interest
Explain: in 20 years interest = $120 120 divided by 20 = 6 so u get $6 each year for $600 so therefore u would get $1 per $100
which equals 1%
hope that helps!

Pls help me ASAP!!! Tickets for a concert cost $7.50 for students and $15 for adults. 150 ticket are sold, and $1612.50 is collected. How many student tickets were sold? How many adult tickets?

Answers

Answer: 85 student tickets, 65 adult tickets.
Let's say the # of students is x and the # of adults is y. The two equations we get are 7.50x + 15y = 1612.50 and x + y = 150
x = 150 - y
7.5(150-y) + 15y = 1612.5
1125-7.5y+15y=1612.5
7.5y=487.5
y=65

x=150-65
x=85

Hope this helps!

Marty went shopping for school supplies. He bought a package of pens for $2.25, a package of paper for $3.25, a notebook for $5.75, and a package of folders for $3.75. What was the range of prices for the school supplies that Marty bought?

Answers

Answer:

$3.50

Step-by-step explanation:

to find the range you take the highest number and the lowest number and subtract them

so with that, let us do just that-

$5.75, $3.75, $3.25, $2.25

$5.75-$2.25

=$3.5

and since we're dealing with money we must add a '0' to the end of the decimal- $3.50

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

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