Find the zeros of the function. State the multiplicity of any multiple zeros. y = (x-5)(x+2)^2. Created by pumpkin1625. mathematics-us

Hi,Pretty simple: if a result of a multiplication is equal to 0, then each factor is equal to 0.y = f(x) = (x -- 5)(x + 2)² = 0, so:x₁ -- 5 = 0 ⇒ x₁ = 5.(x + 2)² = 0 ⇒ x₂ = x₃ = --2, for --2 we have state of multiplicity = 2.Green eyes.

Find the zeros of the function. State the multiplicity of any multiple zeros. y = (x-5)(x+2)^2

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pumpkin1625

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Find the zeros of the function. State the multiplicity of any multiple zeros.

y = (x-5)(x+2)^2

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GreenEyes71

Hi,
Pretty simple: if a result of a multiplication is equal to 0, then each factor is equal to 0.
y = f(x) = (x -- 5)(x + 2)² = 0, so:
x₁ -- 5 = 0 ⇒ x₁ = 5.
(x + 2)² = 0 ⇒ x₂ = x₃ = --2, for --2 we have state of multiplicity = 2.
Green eyes.
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