Factors and Roots

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

• 2, -3

• 2, -3, -3

• -2, 3

• -2, 3, 3

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

• 0, 1, 1

• 5, 1, 1

• -5, 1, 1

• 0, -1, -1

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3

• 0, -1, 3

• 1, -3

• 0, -3, 1

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

Which best describes the multiplicity of a root?

• It is the number of times the corresponding factor is repeated

• It is the highest degree of the polynomial

• It is the number of times x is multiplied by itself

• It is the number of x-intercepts on a graph

If you know that x = 4 is a root to the function f(x), which statement below is true?

• (x - 4) is a factor

• (x + 4) is a factor

• x = -4 is also a root

If (x + 13) is a factor of the polynomial g(x), which statement below is true?

• x = -13 is a root

• x = 13 is a root

• (x - 13) is also a factor

If (x - 5) is a factor of the polynomial g(x), which statement below is true?

• x = 5 is a root

• x = -5 is a root

• (x + 5) is also a factor

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

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