Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 5(x + 8)2(x - 8)3
Solution:
Given polynomial f(x) = 5(x + 8)2(x - 8)3
The zeros of a polynomial is defined as the values of x for which f(x) becomes zero
Hence, f(x) = 5(x + 8)2(x - 8)3
(x + 8)2 = 0 => x = -8, -8
(x - 8)3 = 0 => x = 8, 8, 8
Therefore, the zeros are -8, -8,8,8,8.
The multiplicity is 2 as one zero x = -8 is repeated 2 number of times.
The multiplicity is 3 as one zero x = 8 is repeated 3 number of times.
Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 5(x + 8)2(x - 8)3
Summary:
The zeros of the polynomial function are -8, -8, 8, 8, 8 and multiplicity is 2 and 3 respectively.
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