Roots and Factors of Polynomial Functions

Determine the roots of the polynomial. 
f(x) = 5x(x-1)²

• 0, 1, 1

• 5, 1, 1

• -5, 1, 1

• 0, -1, -1

Tags

CCSS.HSF-IF.C.7C

Determine the roots of the polynomial. 
f(x) = x²(x+5)

• 0, 5

• 0, 0, 5

• 0, -5

• 0, 0, -5

Tags

CCSS.HSF-IF.C.7C

Determine the roots of the polynomial. 
f(x) = -6x(x+4)(x-2)

• 0, -4, 2

• -6, -4, 2

• -6, 4, -2

• 0, 4, -2

Tags

CCSS.HSF-IF.C.7C

Determine the roots of the polynomial. 
f(x) = (x+1)(x-4)(x+2)

• 1, 4, 2

• -1, -4, -2

• 1, -4, 2

• -1, 4, -2

Tags

CCSS.HSF-IF.C.7C

Given the following polynomial f\left(x\right)=\ 4x^5-28x^4+49x^3 x = 0 has a multiplicity of __?__

Tags

CCSS.HSF-IF.C.7C

Given the following polynomial f\left(x\right)=\ 4x^5-28x^4+49x^3 x = 0 has a multiplicity of __?__

Tags

CCSS.HSF-IF.C.7C

If you know 3 and 2i are roots of a polynomial function, state the polynomial factors.

• (x + 3) , (x + 2i)

• (x - 3), (x -2i), (x + 2i)

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

• (x -3 - 2i), (x + 3 - 2i)

Tags

CCSS.HSF-IF.C.7C

If x = -10 is a root to the polynomial function f(x), then which statement below is also true?

• (x + 10) is a factor

• (x - 10) is a factor

• x = -10 is also a root

Tags

CCSS.HSA.APR.B.2

Determine the roots of the polynomial. 
f(x) = (x-2)(x+3)²

• 2, -3

• 2, -3, -3

• -2, 3

• -2, 3, 3

Tags

CCSS.HSF-IF.C.7C

Determine the roots of the polynomial. 
f(x) = (x-2)³

• -2, -2, -2

• 2, 2, 2

Tags

CCSS.HSF-IF.C.7C