Find the value of k if X + 1 is a factor of x^3 + kx^2 + 2k – 2.​

Question

Find the value of k if X + 1 is a factor of x^3 + kx^2 + 2k – 2.​

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Autumn 1 month 2021-08-21T22:40:21+00:00 1 Answer 0 views 0

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    2021-08-21T22:42:20+00:00

    Answer:

    \huge\mathcal{\fcolorbox{purple}{pink}{answer = 1}}

    g(x) = x + 1

     \:  \:  \:  \:  \: x =  - 1

    g(x) =  - 1

    p(x) =  {x}^{3}  + k {x}^{2} + 2k - 2

    p( - 1) =  {( - 1)}^{3}  + k { (- 1)}^{2}  + 2k - 2

    p( - 1) =  - 1 + k + 2k - 2

    p( - 1) =  - 3 + 3k = 0

     => 3k = 3

     => k = 1

    <marquee>................................................................</marquee>

    \mathcal{\fcolorbox{purple}{yellow}{hope \: it \: help \: you}}

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