if (x+1) is a factor of 8x^3+5x^2+2x+5k. find the value of k

Question

if (x+1) is a factor of 8x^3+5x^2+2x+5k. find the value of k

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Abigail 3 months 2021-11-06T17:30:41+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-06T17:32:10+00:00

    Step-by-step explanation:

    x+1 = 0

    x=-1

    8x -1^3 +5x -1^2 + 2x -1 +5k =0

    -8 +5 -2 +5k =0

    -5 +5k =0

    5k =5

    k=1

    0
    2021-11-06T17:32:23+00:00

    Let f(x)=8x^3+5x^2+2x+5k.

    Since (x+1) is a factor of f(x).

    So, f(-1)=0

    0=-8+5-2+5k

    5k=5

    k=1

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