Question

What should be the value of a in x^2-5x+8=(x-3)*p(x)+a using remainder theorem

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9th

Maths

Polynomials

Remainder Theorem

By Remainder Theorem find t...

MATHS

By Remainder Theorem find the remainder, when p(x) is divided by g(x), wherep(x)=x3−6x2+2x−4, g(x)=1−23​x

December 30, 2019Gurpreet Kewat

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ANSWER

p(x)=x3−6x2+2x−4 and

g(x)=1−23​x

   1−23​x=0

=>23​x=1

=>x=32​

By, remainder theorem, the remainder when p(x) divided by g(x) is p(32​)

Thus, 

p(32​)=(32​)3−6(32​)2+2(32​)−4

          =278​−96×4​+34​−4

          =278​−98​+34​−4

          =278−24+36−108​

          =27−136​