For the polynomial

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

Problem

For the polynomial p(x)=x3+ax2+bx+6p(x)=x^{3}+ax^{2}+bx+6, it is known that x=1x=1 is a factor and the remainder when p(x)p(x) is divided by x−2x-2 is 1010. Which ordered pair (a,b)(a,b) satisfies these conditions? (a) (0,−7)(0,-7) (b) (−5,−2)(-5,-2) (c) (5,−12)(5,-12) (d) (8,−15)(8,-15)

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