Finding Zeros and Multiplicities of Polynomials

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

• x = 5, (2/3), 6, (7/4)

• x= -5, (3/2), (-4/7), 6

• x= 5, (-3/2), (4/7), -6

• x= 6, 5, -2/3, -4/7

How many total roots/zeros are there in the polynomial.

• A

• B

• C

• D

Use the Rational Root Theorem to determine the list of possible rational roots.

• A

• B

• C

• D

Which of the following is NOT a possible rational zero for p(x). 

• A

• B

• C

• D

• 1

• 2

• 3

• 4

• -3

• 3

• 15

• -15

• 2

• -2

• 0

• -45

• 45

• -3

• 3

• 15

• -15

• 2

• -2

• 0

• -45

• 45

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Find the zeros of the polynomial