torreyd3 torreyd3
  • 25-05-2022
  • Mathematics
contestada

is (x-2) a factor of f(x)=x^3 -8x^2+14x-4?

Respuesta :

goddessboi goddessboi
  • 25-05-2022

Answer:

Yes

Step-by-step explanation:

Use synthetic division

2 | 1 -8  14 -4

____2 -12_4__

    1 -6   2 | 0

Thus, [tex](x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0[/tex], so [tex](x-2)[/tex] is indeed a factor of f(x) since there's no remainder.

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