Roots and Factors

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

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) = (x-2)³

• -2, -2, -2

• 2, 2, 2

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

• 0, 1, 1

• 5, 1, 1

• -5, 1, 1

• 0, -1, -1

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 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 - 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

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

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 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)