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Rajan@2021
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If (x+a) is a factor of the polynomial 2x²+2ax+5x+10, find the value of a.

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An important and exam oriented question from polynomials in which we have given a equation 2x²+2ax+5x+10 and x+a is one of its factor and we have been asked to find the value of a.

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2A, question no 20

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1 Answer

  1. Given f(x)=2x2+2ax+5x+10

    g(x)=x+a

    x+a=0

    x=a

    f(a)=2(a+2a(a)+5(a)+10

    +225a+10=0

    5a=10

    a=10/5

    a=2

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