mikaylaross13 mikaylaross13

21-05-2019
Mathematics

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Given h(x)=x+2 and f(x)=x^3+4x^2-5. Is h(x) a factor of f(x)

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Danutz98 Danutz98

21-05-2019

Answer:

No.

Step-by-step explanation:

h(x) = x+2

f(x) = x³+4x²-5

h(x) = 0 => x+2 = 0 => x = -2

h(x) is a factor of f(x) if f(-2) = 0

f(-2) = (-2)³+4·(-2)²-5 = -8+4·4-5 = -8+16-5 = -13+16 = 3 ≠ 0

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