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Rajan@2021
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Show that (x – 2) is a factor of 3x 2 −x−10. Hence, factories 3x 2 −x−10

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A basic question from factorisation chapter in which we are asked to prove  that (x – 2) is a factor of 3x2x10. It means ultimately we have to factories 3x2x−10

ML Aggarwal Avichal Publication, Factorisation, chapter 6, Question no 10

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1 Answer

  1. Consider g(x)=0⇒x−2=0⇒x=2

    Now putting x=2 in p(x), We get
    p(2)=3(2)
    2
    −(2)−10
    =12−2−10=0
    ∴ By factor theorem, (x−2) is a factor of p(x)
    Hence proved.

    Now, 3x
    2
    −x−10
    =3x
    2
    −6x+5x−10
    =3x(x−2)+5(x−2)
    =(x−2)(3x+5)

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