# How to find the zeros and multiplicity of a polynomial

Asked by wiki @ in Mathematics viewed by 230 People

Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 5(x + 8)2(x - 8)3
A. 4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3
B. -8, multiplicity 2; 8, multiplicity 3
C. -8, multiplicity 3; 8, multiplicity 2
D. 4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1

Answered by wiki @

f(x) = 5(x + 8)2(x - 8)3

the true answer is

B. -8, multiplicity 2; 8, multiplicity 3
because

e.g: (x + 8)2= (x-  (-8))²,  -8 is the zero and 2 is the multiplicity

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