Polynomial Factors, Zeros and Multiplicity

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

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

Solve by factoring:  2x³+ 7x² + 6x = 0

• x=0, x= 3/2 and x = 2

• x=0, x = -3/2 and x = -2

• x=0, x = 6 and x = 7

• x=2, x = -6 and x = -7

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

• A

• B

• C

• D

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 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)?

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder.