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  • 15-11-2019
  • Mathematics
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Given one factor of the polynomial, factor the polynomial completely.


f(x) = x^3 - 4x^2 - 7x + 10; X - 5​

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Аноним Аноним
  • 15-11-2019

Answer:

The factors are (x  - 1)(x - 5)(x + 2).

Step-by-step explanation:

Long division:

x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.

        x^3 - 5x^2

                   x^2 - 7x

                    x^2 - 5x

                           - 2x + 10

                            -2x + 10

                              ...........

x^ 2 + x - 2 = (x + 2)(x - 1).

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