Roots and Factors of Polynomials

What are the zeros with multiplicities?

• -4 multiplicity 1, -8 multiplicity 1, 5 multiplicity 3

• 4 multiplicity 2, 8 multiplicity 3, -5 multiplicity 1

• 4 multiplicity 3, 8 multiplicity 2, -5 multiplicity 1

• -4 multiplicity 2, -8 multiplicity 3, 5 multiplicity 1

What are the zeroes with multiplicity?

• -2 multiplicity 9, 12 multiplicity 10

• -2 multiplicity 10, 12 multiplicity 9

• 2 multiplicity 10, -12 multiplicity 9

• 2 multiplicity 9, -12 multiplicity 10

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

What are the zeros with multiplicities?

• 2 multiplicity 1, 5 multiplicity 1, 6 multiplicity 1

• -2 multiplicity 1, -5 multiplicity 1, -6 multiplicity 1

• 2 multiplicity 1, 5 multiplicity 1, -6 multiplicity 1

• -2 multiplicity 1, -5 multiplicity 1, 6 multiplicity 1

Which polynomial has 3 factors of (x – 1) and two factors of (x + 7)?

What is the equation of a polynomial with 5 factors of (x – 5), 6 factors of (x + 5), and 4 factors of (x + 4)?

Which of the following are words that mean SOLUTIONS? Choose ALL of the possible answers.

• Zeroes

• Roots

• X-intercepts

• Y-intercepts

Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Identify the zeros:

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

Write the factors of the polynomial from the zeros in the graph. Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• (x - 3) (x + 2) (x + 5)

• (x - 5) (x - 2) (x + 3)

• (x + 3) (x + 2) (x + 5)

• (x - 3) (x - 2) (x - 5)