Consider the Polynomial P(x)=x^3-5x^2-x+5. is (x-5) a factor? a No, the remainder is 0, so x-5 is not a factor of P(x)

Question

Consider the Polynomial P(x)=x^3-5x^2-x+5. is (x-5) a factor?

a No, the remainder is 0, so x-5 is not a factor of P(x)

b Yes, the remainder is 0, so x-5 is a factor of P(x)

c Yes, the remainder is -240, so x-5 is a factor of P(x)

d No, the remainder is -240, so x-5 is not a factor of P(x)

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Athena 2 weeks 2021-09-10T06:28:26+00:00 1 Answer 0

Answers ( )

  1. Emma
    0
    2021-09-10T06:30:14+00:00

    Answer:

    Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)

    Step-by-step explanation:

    Step 1:  Factor

    p(x) = x^3 – 5x^2 – x + 5

    p(x) = (x – 5)(x + 1)(x – 1)

    Yes, the remainder is 0 so, x-5 is a factor of p(x)

    Answer:  Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)

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