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Rajan@2021
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Find the remainder (without division) on dividing 3x 2 +5x−9 by (3x+2).

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Find the remainder (without division) on dividing 3x2+5x9 by (3x+2).

I came across one of the basic question of factorisation but still finds it difficult to solve

Please give me a detailed solution of this question

Book- ML Aggarwal Avichal Publication, chapter 6, question no 4(ii)

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1 Answer

  1. Let us assume
    3x+2=0
    ⇒x=−2/3
    ​∴ By remainder theorem,
    when f(x) is divided by (3x+2)
    Remainder r=f(−2/3)
    =3(−2/3)2+5(−2/3)−9
    =4/3−10/3−9
    =−6/3−9
    =−2−9=−11
    Hence, the remainder is −11

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