Factors and Integral Roots

Write the factors of a polynomial function with integral coefficients that has the given zeros. -1, 3i

• (x+1)(x-3i)

• (x+1)(x-3i)(x-1)(x+3i)

• (x+1)(x-3i)(x+3i)

• -x-3i

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

Find the zeros of the function and graph.
y=(x + 2)(x - 3)(3x - 5)

• x=-2, x=3, x=5/3

• x=2, x=-3, x=-3/5

• x=2, x=-3, x=5/3

• x=-2, x=3, x=5

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

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 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

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3

• -2, 7, 3

• 2, -7 multiplicity 3

• 2, -7, 3