Quiz about Factors of Polynomial Functions

Question 1

Given $$\left(x+1\right)$$ is a factor of the polynomial $$f\left(x\right)\ =\ 4x^3-12x^2-x+15$$

use synthetic division to help you find
all of the other factors.
Choose ALL that apply.

Accepted Answer

$$\left(2x-5\right)$$

Accepted Answer

$$\left(2x-3\right)$$

Answer

$$\left(2x+3\right)$$

Answer

$$\left(2x+5\right)$$

Question 2

Write the cubic polynomial in factored form with
zeros -1, 1, and 4

Accepted Answer

(x + 1) (x - 1) (x - 4)

Answer

x³ - 4x² - x + 4

Answer

(x + 1) (x - 1) (x + 4)

Answer

x³ - 4x² - x - 4

Question 3

Given $$\left(x-1\right)$$ is a factor of the polynomial $$f\left(x\right)=x^3-7x^2-x+7$$

use synthetic division to rewrite the polynomial in factored form.

$$f\left(x\right)=$$

Accepted Answer

$$\left(x-1\right)\left(x-7\right)\left(x+1\right)$$

Answer

$$\left(x-1\right)\left(x+7\right)\left(x-1\right)$$

Answer

$$\left(x-1\right)\left(x-6\right)\left(x-1\right)$$

Answer

$$\left(x-1\right)\left(x-6\right)\left(x+1\right)$$

Question 4

Which standard form function matches the factored form:
y = (x + 1)(x - 3)

Accepted Answer

y = x² - 2x - 3

Answer

y = x² + x - 3

Answer

y = x - 2

Answer

y = x² - 2x - 2

Question 5

Which standard form function matches the factored form:
y = (x + 1)(x - 1)(x + 4)

Accepted Answer

y = x³ + 4x² - x - 4

Answer

y = x³ - x² - 4x

Answer

y = x³ - 4x² + x + 4

Answer

y = x³ + x² - x - 4

Question 6

x2 - 16

Accepted Answer

( x - 4) ( x + 4)

Answer

( x - 4) ( x - 4)

Answer

( x - 8) ( x + 8)

Question 7

3x2 - 75

Accepted Answer

3( x + 5 ) ( x - 5 )

Answer

3( x - 5 ) ( x - 5 )

Answer

( x + 5 ) ( x - 5 )

Question 8

Factor f(x)= x³ - 2x²-13x - 10 given that (x - 5) is one factor.

Accepted Answer

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

Answer

(x- 5)(x - 1)(x - 2)

Answer

(x - 5)(x + 2)(x - 2)

Answer

(x - 5)(2x - 13)

Factors of Polynomial Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics