pumpkin1625
pumpkin1625 pumpkin1625
  • 28-10-2018
  • Mathematics
contestada

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

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

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GreenEyes71
GreenEyes71 GreenEyes71
  • 28-10-2018

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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