The polynomial p(x)=3x^3-5x^2-4x+4p(x)=3x 3 −5x 2 −4x+4p, left parenthesis, x, right parenthesis, equals, 3, x, cubed, minus, 5, x, squared, minus, 4, x, plus, 4 has a known factor of (x-2)(x−2)left parenthesis, x, minus, 2, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Here, given a factor of 3x^3 -5x^2 -4x + 4, we want to fully express the polynomial as a product of its linear factor

To find the other factors, we shall divide the polynomial by the given factor

That will be;

3x^3-5x^2-4x + 4/(x-2)

we use long polynomial division here

Please check attachment for the division

The division yields 3x^2 + x - 2

what is left is to factorize the expression above

That will be;

3x^2 + 3x -2x - 2

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

So we have (3x-2)(x + 1)

So the complete factorization will be;

3x^3-5x^2-4x + 4 = (x-2)(3x-2)(x+1)

The Polynomial P(x)=3x^3-5x^2-4x+4p(x)=3x 3 5x 2 4x+4p, Left Parenthesis, X, Right Parenthesis, Equals,

Related Questions

What is the scale factor (k) of the dilation if C is (-6,9) and C' is (-2,3)?

Answers

Answer:

Step-by-step explanation:

Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k

For the x coordinates:

C' = kC

x' = kx

-2 = k(-6)

-2 = -6k

Divide both sides by -6

k = -2/-6

k = 1/3

For the y-coordinates:

y' = ky

3 = 9k

Divide both sides by 9:

3/9 = 9k/9

1/3 = k

k = 1/3

Hence the scale factor of the dilation is 1/3

Answer:

The scale factor from C' to C is

3

But the scale factor from C to C' (the one you may have asked for in the question) is

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

What we already know is that we have line segments C and C' and we know their lengths.

C = (-6, 9)

C' = (-2, 3)

So the scale factor from C' to C can be easily known if we simply use the rules of division

-6 ÷ -2

and

9 ÷ 3

They both are equal to the outcome, 3.

So we now know that the scale factor from C' to C is 3.

But what about C to C'??

Yes we still have to do division, BUT (you may have guessed it already but), we must switch the positions that the numbers for dividend and divisor were.

-2 ÷ -6 =

0.33333333...  or  [tex]\frac{1}{3}[/tex]

3 ÷ 9 =

0.33333333...  or  [tex]\frac{1}{3}[/tex]

So we can decisively conclude that the scale factor of C to C' is [tex]\frac{1}{3}[/tex]

I hope you find my answer helpful!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Angle ABD is 90 what is the measure of ABC

Answers

Answer:

90 I am guessing. if it's like a square or rectangle

Nicole needs to drive a total of 26 miles. So far, she has driven 7.9 miles. How many more miles must Nicole drive?

Answers

Answer:

18.1

ignore this i need more text in order to submit

Answer:

18.1

Step-by-step explanation:

26-7.9= 18.1

hope this helps :)

Approximate the value of 36 square root

Answers

Answer:

6

Step-by-step explanation:

Square root of 36 is 6

14. A cable company charges a $30 base installation fee plus $10 for every hour it takes to install all the equipment in your house. Write an equation in slope-intercept form that models the price of your installation as a function of the amount of time it takes.
A. y=30x+10
B. y=10x+30
C. y=10x-30
D. y=30x-10​

Answers

the answer is B
Y= $10( hours) + $30
So you multiply $10 (x) how many hours worked plus $30 charge for base . Will give you the (y)

If Brian biked at an average speed of 12.2 miles per hour for 1.45 hours, you can find the total distance by multiplying

Explain how to find the product of 12.2(1.45).

PLZ EXPLAIN HOW YOU DID IT IN AT LEAST 3 SENTENCES 25 PNTS!!!!!!!!!!!!!!!

Answers

I got the answer wrong and couldn't delete it.

Answer:

First, multiply the numbers. Then count the number of decimal places in each factor. Place the decimal in the product so the product has the same number of decimal places as both factors combined.

Step-by-step explanation:

a bag of grapes weighs 5/8 of a pound. Before any was eaten, the bag of grapes weighed 4 times this amount. What is the weight of the original bag of grapes

Answers

2.5 pounds or exact fraction 5/2 or 2 1/2 if you want a mixed fraction

Jorge went to buy a new surfboard. The store has a 30% off sale. He has an additional 20% off. He pays 112$. What was the original price?​

Answers

Answer:

224

Step-by-step explanation:

30% + 20% = 50% = half price

if he pays 112 whick is half price you need to times it by 2 to get the full price

Find the next two terms in this
sequence.
3, 12, 48, 192, [?]

Answers

so it seems like the rule is multiply by 4 so that next two would be 768 and 3072

If you teach me how to mark brainlest i will mark you brainlest and you will get 20 points.

Answers

Answer:

tab on it.

Step-by-step explanation:

Find the Square of 8^2

Answers

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

8^2

= 8 * 8

64

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

10 POINTS!!!
PLEASE HELP:(

I know it’s really easy but i’m super confused. Can anyone help???

Answers

Answer:

t=1/5d

Hope this helps! :)

5x – (1 + i) = (9 + 41)

Answers

Answer:

x=3

i=74

That is my answer. I think, not 100% sure though.

The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-15, 8)

Answers

Answer:

y = -5/4x - 10.75

Step-by-step explanation:

First, put the equation in slope intercept form by isolating y:

5y - 4x = 10

5y = 4x + 10

y = 4/5x + 2

Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4

Plug in the slope and the given point into y = mx + b to find b:

y = mx + b

8 = -5/4(-15) + b

8 = 18.75 + b

-10.75 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = -5/4x - 10.75

Answer:

5x + 4y + 43 = 0

Explanation:

y=mx+b

m=slope

b=y intercept

perpendicuar lines have slopes that multiply to get -1

so

solving for y

add 4x both sides and divide by 5 to get

y=4/5x+2

slope is 4/5

perpendicular means the slopes multiply to get -1

so

4/5 times what=-1?

what=-5/4

so

y=(-5/4)x+b

find b

given the point (-15,8)

8=(-5/4)(-15)+b

8=75/4+b

-43/4=b

y=(-5/4)x-43/4

convert to standard form:

5x + 4y + 43 = 0

PLSSS!! HELP ME WITH THIS ASAP!!​

Answers

Answer:

1. (12-5)

2. 7(ab)

3. 14

4.  -4

5. 0

Step-by-step explanation:

1. rewrite using distributive property

answer:  a(12-5)

2. the answer is 7(ab)

3. 9 plus 5 = 14

4. -4

5. 25 plus -25 will be 0

plz simplify and answer 3x+7x−28+31−8x for x=2043

Answers

Answer:

4091

Step-by-step explanation:

Given the equation;

3x + 7x − 28 + 31 − 8x

First, we would collect like terms;

3x + 7x − 8x − 28 + 31

Simplifying, we have;

[tex] 2x + 5[/tex]

For x = 2043;

2(2043) + 5 = 4086 + 5 = 4091.

5 groups of 2 hundredths =

Answers

5x0.02=10 hope this helps! :)

I need some help on this problem.

Answers

Answer:

It would be <XWY & <UTW.

Xwy and str I believe

GIVING BRAINLIST SO PLZZZ HELP PLZZZ


A weather station on the top of a mountain reports that the temperature is currently 0℃ and has been falling at a constant rate of 3 ℃ per hour. If it continues to fall at this rate, fill in each indicated temperature below.


The temperature will be _____ 0 in half an hour.

Answers

Answer:

5.c  hope this help - shelby

Step-by-step explanation:

Answer:

I’m confused

Step-by-step explanation:

2+2+2-2x4x9x2+2+2+4+4x9+1938x3871

Answers

Answer:

7,501,904

I hope this helps!

Answer:

75020220.86 is the answer

CAN SOMEBODY PLZ ANSWER ALL THESE CORRECT THANKS!!!!
(Only if u know how to do this)

WILL MARK BRAINLIEST :D

Answers

Answer:

ok look at comments for answers

Step-by-step explanation:

Answer:

24. -3, -1, 0, +1, +3

25. -4, -3, -2, +1, +2

26. -1, 0, +5, +7, +8

27. -7, -4, 0, +2, +3

28. -3, -2, -1, +4, +6

29. -11, -7, -4, +1, +3

:)

STORAGE COSTS According to a certain prediction equation, the cost of 200 square feet of storage space is $60. The cost of 325 square feet of storage space is $160. Find the slope of the prediction equation (in decimal form). Use the prediction equation to calculate the cost of 520 square feet. (use slash symbol to separate both answers, do not space)

Answers

Answer: for the first one it would be y=.8x-100 and the other answer would be 180

Let me know ASAP pls if it’s correct I found the answer online

Answer:

Full answer is

.8 for 1st one

and 360 for 2nd one

Step-by-step explanation:

Correct answer was given after wrong one.

64x^2y-y factor the expression

Answers

Answer:

y(8x+1)(8x-1)

Step-by-step explanation:

−2z+3+7z=−12
i need help

Answers

Answer:

 =  − 3

Step-by-step explanation:

Answer:

z=-3

Step-by-step explanation:

-2z+3+7z=-12

5z+3=-12

5z=-12-3

5z=-15

z=-3

:)

the ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?

Answers

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

Answer:

There are 250 berries.

Step-by-step explanation:

There are 10 berries per 1 orange.

We have 25 oranges.

To find out how many groups of berries to oranges there will be I will divide 25 by 1.

[tex]25/1=25[/tex]

[tex]x*y=z[/tex]

x = Amount of groups

y = Amount of berries per group

z = Amount of berries total.

Substitute values:

[tex]25*10=250[/tex]

There are 250 berries total!

A dairy milker's gross pay per week is $546. If she works 30 hours per week, how much does she earn per hour?

Answers

$18.20

Explanation:
$546/30hours=$18.20

Plz mark brainiest

Answer:

She earns $18.20 dollars per hour

Step-by-step explanation:

$546 (how much she is payed each week) ÷ 30 (how many hours she works each week) = $18.20 (how much she earns per hour)

How do you write 4.0 x 101 in standard form?

Answers

Answer:

4.01

Step-by-step explanation:

15 - 5k ≥ 0
solve the inequality

Answers

Start by adding 15 to both sides
15 + 15 will cancel out
15 + 0 = 15
After you are left with just 5k and 15
Divided 5 on both sides of the inequality
5k/5 ( this will cancel out)
15/5 = 3
Bring down the k & inequality sign

Final Answer :

The solution is, the value of the inequality is, 3  ≥ k.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

15 - 5k ≥ 0

now, we get,

Start by adding 15 to both sides

15 + 15 will cancel out

15 + 0 = 15

After you are left with just 5k and 15

Divided 5 on both sides of the inequality

5k/5 ( this will cancel out)

15/5 = 3

Bring down the k & inequality sign

3 - k  ≥ 0

adding k on both side,

3  ≥ k

Final Answer : 3  ≥ k

To learn more on inequality click:

https://brainly.com/question/12189350

#SPJ2

positive decimals less than 2 with an interval of 0.25 between each pair of decimals??? please help me

Answers

1.75, 1.5, 1.25, 1, 0.75, 0.5, 0.25, 0

(Idk if 0 would be considered to be positive but the rest are for sure.)

To find these just subtract 0.25 each time until you hit a negative number.

in health class the students were asked what grains they preferredin the breakfeast cereal. What is the probibility that a random chosen student in the health class is listed out as their favorite grain?
Answers:
A: 20%
B: 35%
C: 14%
D: 30%

Answers

i think b but idek know
C definitely c can’t see why not
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