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1.(03.02)
Is (x + 4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.

Respuesta :

Answer:

no

Step-by-step explanation:

By the factor theorem

If (x + h) is a factor of f(x) then f(- h) = 0

Given (x + 4) with h = - 4 , then

f(- 4) = (- 4)³ - 2(- 4)² + 5(- 4) + 1

       = - 64 - 2(16) - 20 + 1

      = - 64 - 32 - 19

      = - 115

Since f(- 4) ≠ 0 then (x + 4) is not a factor of f(x)

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