if x+1 is the factor of ax^3 +x^2-2x+4a – 9 find the value of a

Question

if x+1 is the factor of ax^3 +x^2-2x+4a – 9 find the value of a

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Ayla 1 week 2021-09-12T18:56:22+00:00 1 Answer 0 views 0

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    2021-09-12T18:58:02+00:00

    Answer:

    a = 2

    Step-by-step explanation:

    let p(x)= ax^{3} +x^{2} -2x+4a-9

    given,

    x-1 is a factor of p(x)

    By factor theorem,

    p(1)=ax^{3} +x^{2} -2x+4a-9=0

    a(1)^{3} +(1)^{2} -2(1)+4a-9=0

    a + 1 – 2 + 4a – 9 = 0

    5a – 10 = 0

    5a = 10

    a = 2

    hope helpful!!

           

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