The polynomial has and as factors and leaves a remainder when divided by

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

The polynomial h(x)=x4−2x3+bx2+cx+dh(x)=x^{4}-2x^{3}+bx^{2}+cx+d has (x−1)(x-1) and (x+2)(x+2) as factors and leaves a remainder 55 when divided by x−3x-3. Find the values of bb, cc and dd.

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