Find The Remainder When P(x) = X^3 - 6x^2 + 2x - 4 Is Divided By G(x ...

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard IXMathematicsRemainder TheoremQuestionFind the remainder when p(x)=x3−6x2+2x−4 is divided by g(x)=3x−1Open in AppSolutionVerified by Toppr

Here, g(x)=3x−1. To apply Remainder theorem, (3x−1) should be converted to (x−a) form.∴3x−1=13(3x−1)=x−13∴g(x)=(x−13)By remainder theorem, r(x)=p(a)=p(13)p(x)=x3−6x2+2x−4⇒p(13)=(13)3−6(13)2+2(13)−4=127−69+23−4=1−18+18−10827=−10727∴ the remainder p(13)=−10727

Was this answer helpful?63Similar QuestionsQ1Find the remainder when p(x)=x3−6x2+2x−4 is divided by g(x)=3x−1View SolutionQ2By Remainder Theorem find the remainder, when p(x) is divided by g(x), wherep(x)=x3−6x2+2x−4,g(x)=1−32xView SolutionQ3Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where px=x3-6x2+2x-4, gx=1-32x.View SolutionQ4Question 14 By Remainder theorem, find the remainder when p(x) is divided by g(x). (i) p(x)=x3–2x2–4x–1,g(x)=x+1 (ii) p(x)=x3–3x2+4x+50,g(x)=x–3 (iii) p(x)=4x3–12x2+14x–3,g(x)=2x–1 (iv) p(x)=x3–6x2+2x−4,g(x)=1−32xView SolutionQ5Question 14 By Remainder theorem, find the remainder when p(x) is divided by g(x). (i) p(x)=x3–2x2–4x–1,g(x)=x+1 (ii) p(x)=x3–3x2+4x+50,g(x)=x–3 (iii) p(x)=4x3–12x2+14x–3,g(x)=2x–1 (iv) p(x)=x3–6x2+2x−4,g(x)=1−32xView Solution

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