Understanding zeroes and factors of polynomials

What are the factors of x^3 + 8x^2 + 11x - 20

• (x - 4)

• (x + 4)

• (x - 1)

• (x + 5)

• (x + 1)

Tags

CCSS.HSA.APR.B.2

If $\alpha$ and  $\beta$ are the zeroes of a polynomial, such that  $\alpha+\beta=6$ and  $\alpha\beta=4$ , then write the polynomial 

•  $x^2-6x+4$  

•  $x^2-6x-4$  

•  $x^2+6x+4$  

•  $x^2+6x-4$  

Tags

CCSS.HSA.APR.B.2

Find the total factorization of f(x), given that (x+3) is a factor of

f(x) = 2x³+5x²-6x-9

• (x+1)(x+3)(x+3)

• (x+1)(x+3)(2x-3)

• (2x-3)(x-3)(x+1)

• (x+3)(2x+3)(x - 1)

Tags

CCSS.HSA.APR.B.2

Factor:

x³ - 12x² + 47x - 60 = 0 when 5 is a root.

• (x-3)(x-4)(x-5)=0

• (x+1)(x-4)(x-5)=0

• (x-3)(x-4)(2x-5)=0

• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

Tags

CCSS.HSA.APR.B.2

Answer explanation

Tags

CCSS.HSA.APR.B.2

Use synthetic division to find all the zeros of f(x) = 2x³+5x²-6x-9, given that f(-3) = 0. YOU MUST SUBMIT A PICTURE OF YOUR WORK FOR FULL CREDIT.

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSA.APR.B.2

Given: (x - 4)(x + 4) = x² - 16; What does (x - 4) (x + 4) represent in the equation?

• solutions

• function

• foil

• factors

Tags

CCSS.HSA.APR.B.2

Find all the factors of   x³ -3x² -4x +12

• (x-2) (x+2) (x+3) 
• (x-2) (x-2) (x+3)
• (x+2) (x+2) (x+3)
• (x-2) (x+2) (x-3)

Tags

CCSS.HSA.APR.B.2

• x + 10

• x + 4

• x - 3

• x - 5

Tags

CCSS.HSA.APR.B.2