Determine the zeros and state the multiplicity of any repeated zeros for f(x)=3x(x+2)^2(2x-1)^3

see explanation

Step-by-step explanation:

To determine the zeros of f(x) equate f(x) = 0, that is

3x(x + 2)²(2x - 1)³ = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0 with multiplicity 1

(x + 2)² = 0 ⇒ x = - 2 with multiplicity 2

(2x - 1)³ = 0 ⇒ x = with multiplicity 3

4038

step-by-step explanation:

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