The polynomial satisfies

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

Problem

The polynomial p(x)=x3+ax2+bx+cp(x)=x^{3}+ax^{2}+bx+c satisfies p(0)=5p(0)=5, x=2x=2 is a factor, and the remainder when p(x)p(x) is divided by x+1x+1 is 33. Find the value of bb. (a) −52-\dfrac{5}{2} (b) −76-\dfrac{7}{6} (c) −32-\dfrac{3}{2} (d) −23-\dfrac{2}{3}

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