Write P(x) = x3 + x2 − 17x + 15 as a product of two factors, using x − 3 as one factor.

Answers

Answer 1

Answer: (x-3)(x-1)(x+5)

Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.

Answer 2

Answer: (x-1)(x-3)(x+5)

Step-by-step explanation:

Use the rational root theorem

Constant term = 15, Coefficient of leading term = 1

Factors of 15: 1, 3 , 5, 15

Factors of 1: 1

Therefore, (x-1) is a factor

[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]

Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)


Related Questions

What is the y-intercept of the equation?

Answers

Answer:

5

Step-by-step explanation:

Y=-3x+5

the y-intercept would be 5

The local furniture store pays $110 for a chest
of drawers and sells it with a 40% markup.
What is the selling price of the chest of
drawers?

Answers

Answer:

$154

Step-by-step explanation:

Find the selling price by finding the cost with the 40% markup:

Multiply 110 by 1.4:

110(1.4)

= 154

So, the selling price is $154

Answer:lol

Step-by-step explanation:I still don’t know

100% ☺
Which is the other endpoint of a line segment with one endpoint at (-2,-5) and midpoint at (3, 2)?

Answers

Answer :

I believe it’s x = 8 and y = 9

Explanation: hope this helps (got this from somebody else on here)

i dont under stand this

Answers

Answer:

13

Step-by-step explanation:

a^2 + b^2 = c^2

Plug 5 and 12 for a and b respectively. then solve

Also its a special  5 12 13 triangle.

Julie is planning to make cupcakes for her school bake sale. There are 285 students, 17 teachers, and 324 parents attending the bake sale. If she decides to make a cupcake for each person, how many cupcakes does she need to make?

Answers

Answer:

Step-by-step explanation:

Julie is planning to make cupcakes for her school bake sale. There are 285 students, 17 teachers, and 324 parents attending the bake sale. If she decides to make a cupcake for each person, how many cupcakes does she need to make?

1 cup cake per person

Hence: total number of cupcakes

= 285 + 17 + 324

626 cup cakes

15 points!

Can someone help me find the range of this question please.

Answers

Answer:

80, 95, 110, 125, 140

Step-by-step explanation:

80, 95, 110, 125, 140

pls help again lolll srry :((

Answers

Answer: 9

Step-by-step explanation:

Hi whats
u = x - k solve for x

Answers

Answer:

x=u+k

Step-by-step explanation:

Answer:

x = k+u

Step-by-step explanation:

u = x - k

+k       +k

u + k = x

Hope this helps!

what changes in a wave to make a sound high pitch or low pitch?

Answers

Answer:

Volume is dependent on how hard the air is pushed through. Sound travels more slowly than light. Sound waves travel at the same speed, but vibrate in different ways. Some vibrate quickly and have a high frequency or pitch, while others vibrate slowly and give a lower pitch.

Step-by-step explanation:

I hope this helps :)

Can someone help on doing these plz if you know them ?

Answers

Answer:

8. 3

9. 1.6

10. -5

hope that helps

Answer:

Step-by-step explanation:

8. x = 3

9. g = 1.6

10. d = -5

Caitlin has a $10 gift certificate to the music store. She has chosen a number of CDs from the $7 bargain bin. If the cost of the CDs is $32 after the gift certificate is credited, which equation could be used to determine how many CDs did Caitlin buy?

Answers

Answer:

32+10=7x

Step-by-step explanation:

Let's solve this first. 32$ is the final price, and then add 10$ because of the gift card, leaving you with 42$. Divide the 42 by 7, because each CD is 7 dollars. The result is 6. So put that into an equation.

32+10=42=7x

x=6!

Hope this helps :3

for an acute angle 0, the equation sin(0) the equation sin(0) = cos(6) is true. What is the value of 0?​

Answers

The answer for the value of 0 is 0=1

PLEASEE I REALLY NEED HELp Plus 30 coins
Brainlist too





For each question, solve for the length of the unknown side, as

denoted by the variable. You may round your answers to the nearest

tenth, if necessary. Make sure you show all steps needed to solve the

problem.

Answers

Answers (in order):

I used the Pythagorean Theorem to solve each one:

[tex]h=13[/tex]

[tex]l=9[/tex]

d ≈ 8.0622

l ≈ 6.7082

Hope this helps! :)

Describe the transformation.

* Dilation with a scale factor of 1⁄2
* Dilation with a scale factor of 2
* Dilation with a scale factor of 3
* Dilation with a scale factor of 4
* none of the above

Answers

Answer:

Dilation with a scale factor of 2

Answer:

* Dilation with a scale factor of 2

Step-by-step explanation:

B is my answer

Select the ordered pair that is a solution of the system of linear equations.
y = 4x - 7
y = -x +3
o (1,2)
o (2,1)
o (1,1)
o (2,2)

Answers

Answer:

the ordered pair will be (1, 2)

Step-by-step explanation:

first of all substitute the x and y values into the equation in other to make the equation true.

Therefore y=4x-7

1 = 4(2) -7

1 = 8 -7

1 = 1

Making the first equation true. then move to the second equation which is y = - x + 3

1 = -(2) + 3

1 = 1

I hope this helps though

HELP ASAP!! Solve for x and y. ​

Answers

Answer:

Y=90

X=180

Step-by-step explanation:

can someone plz help me

Answers

Answer:

I think B

Step-by-step explanation:

I think

Answer:

The equation has no solution.

Step-by-step explanation:

[tex]2(3x - 8) = 8x - 2x - 8 \\ \\ 2 \times 3x - 2 \times 8 = 6x - 8 \\ \\ 6x - 16 = 6x - 8 \\ \\ 6x - 6x = 16 - 8 \\ \\ 0 = 8 \: (which \: is \: absurd) \\ \\ the \: equation \: has \: no \: solution \\ [/tex]

Which of the ratios below is equivalent to 2:1? Select all that apply.

A) 6:4
B) 8:4
C) 10:5
D) 6:12
E) 6:3​

Answers

B, C, and E are all equal to 2:1

Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:The ratio is 1:5

Step-by-step explanation:

Answer:

it is 1:5 because if you divide both sides by 4, you get 1:5

Step-by-step explanation:

Which algebraic expression represents a number divided by 2?

Answers

Answer: x/2

Step-by-step explanation:

A unknown number can be represented by a variable (‘x’ in this case) and the unknown number (x) is being divided by 2, therefore its x/2

I need help please #22

Answers

Answer:

8 because u need to divide 40 by 5

Write the slope-intercept form of the equation of the line described.
5. through (-2,-3), perp. to y=2x+2

Answers

Answer:

its not showing up on mine

What is the value of x in the equation 3x - 1/9y = 18, when y = 27?

Answers

Answer:

x=7

Step-by-step explanation:

Which is larger the fraction 8/10 or 0.25
0.25
They are equal
8/10

Answers

Answer:

8/10

Explanation:

math

A farm has chickens and horses. All the horses have 4 legs and all the chickens have 2 legs. All together, there are 94 horses and chicken legs on the farm. Complete the table to show some possible combinations of chickens and horses to get 94 total legs.

number of chickens (x) number of horses (y)
35
7
10
19
5

Answers

Answer:

bears beets battlestar galactica

Step-by-step explanation:

Answer:

37x 5y

Step-by-step explanation:

37×2= 74 and 5×4 is 20 (74 +20)= 94

please show work
A car travels 360 miles in 8 hours (with a constant speed). How much time will it take traveling 168 miles?

Answers

Answer:

3.7hours

Step-by-step explanation:

Step one:

A car travels 360 miles in 8 hours

the speed is calculated as

speed= distance/time

speed= 360/8

speed= 45mph

Step two:

How much time will it take traveling 168 miles?

having found the speed, which is the rate at which the car is tavelling

time= distance/speed

time= 168/45

time= 3.7hours

PLEASE HELP ....ITS DUE TODAY!!

Answers

Answer:

B- (-5, -6)

Step-by-step explanation:

By looking on the graph, if you were to reflect this point across the x-axis if will fall under point (-5, -6)

I hope this helps! If not I'm so sorry! Have a lovely day.

Find LN.

A. 38
B. 56
C. 58
D. 76

Answers

Answer:

B. 56°

Step-by-step explanation:

[tex] 20 \degree = \frac{1}{2} (96 \degree - \widehat{LN}) \\ \\ 2 \times 20 \degree = (96 \degree - \widehat{LN}) \\ \\ 40 \degree = (96 \degree - \widehat{LN }) \\ \\ \widehat{ln} = 96 \degree - 40 \degree \\ \\ \huge \red{ \widehat{LN} = 56 \degree}[/tex]

Solve problem in photo 8th math

Answers

square root of 20 = 4,472135954999579

To the nearest tenth: 4,5

In Ms. Miller's class there are 18 girls and 10 boys. Find the ratio of boys to girls. ASAPP plssss

Answers

Answer:

10:18

Step-by-step explanation:

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