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vova2212 [387]
3 years ago
9

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

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer:

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 = \frac{1}{2} with multiplicity 3


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