Fundamental Theorem of Algebra and Multiplicity

Find all zeros.

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

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f(x) = (x+2)(x-3)²(x-4) Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

• 2

• 3

• 4

• 6

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

How many roots does the above Polynomial have?

• 4

• 5

• 6

• 7

How many zeros/solutions does the following function have? f(x)= x⁵ - 3x³ + x

• 8

• 9

• 5

• 3

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A

• B

• C

• D

The nth degree of a polynomial is equal to the number of root that same polynomial has: is a true statement of which theorem?

• Factor Theorem

• Remainder Theorem

• Fundamental Theorem

• All of the above

• None of the above