Polynomial Zeros and Multiplicity Factoring

f(x)= x²(x – 2)³(x – 7)

State the zeros, include multiplicity.

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

• 2 (Mult of 3), 7 (mult 1)

• 0, 2, 7

• 2 (mult of 2), 7 (mult of 3)

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 Degree: 7

• (x + 5)³(x - 9)²(x + 2)(x - 4)

• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

• (x + 5)³(x - 9)²(x + 2)

• (x + 5)(x - 9)(x + 2)(x - 4)

State the zeros of the polynomial (include multiplicity):
f(x) = x(x+3)²(x - 2)

• x = 0, 3, 2

• x = 0, -3 (multiplicity of 2), 2

• -3, 2

• 0, 2 (multiplicity of 3)

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

Find the zero(s) of the function.

• x = 1

• x = -3

• x = {-1, 3}

• x = 2

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

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

Write a polynomial function of least degree in standard form given the following zeros/roots/solutions:

• A

• B

• C

• D

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A

• B

• C

• D

How does a factor's degree affect the graph's behavior at the root?

• An ODD degree of 1 will CUT straight through the x-axis

• An EVEN degree will BOUNCE at the x-axis

• An ODD degree of 3 (or higher) will SQUIGGLE through the x-axis.

• An ODD degree of 3 (or higher) will CUT straight through the x-axis.

• An EVEN degree will SQUIGGLE through the x-axis