A polynomial is divided by a polynomial to give a quotient and a remainder

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

A polynomial p(x)=2x3−x2+x−1p(x)=2x^{3}-x^{2}+x-1 is divided by a polynomial g(x)g(x) to give a quotient q(x)=2x−3q(x)=2x-3 and a remainder r(x)=5r(x)=5. Determine g(x)g(x). (a) x2−x+2x^{2}-x+2 (b) 2x2−3x+52x^{2}-3x+5 (c) x2+x+2x^{2}+x+2 (d) x2+x−2x^{2}+x-2

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