The polynomial leaves a remainder when divided by and a remainder when divided by

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

Problem

The polynomial p(x)=ax2+bx+6p(x)=ax^{2}+bx+6 leaves a remainder 44 when divided by x−1x-1 and a remainder −2-2 when divided by x+2x+2. What is the value of a+ba+b? (a) 44 (b) 00 (c) −2-2 (d) 22

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