Roots and Factors of Polynomials

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5

• 6, -5

• 0, -6, 5

• 1, -6, 5

IF 2 is a root of x³ - 3x² + 2x + 2, then x-2 produce a remainder of ?

• 0

• 2

• 8

• 26

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)

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

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

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

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 (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

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