The polynomial is exactly divisible by both and

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

Problem

The polynomial r(x)=3x4+mx3+nx2+5x−2r(x)=3x^{4}+mx^{3}+nx^{2}+5x-2 is exactly divisible by both (x−1)(x-1) and (x+2)(x+2). Find the ordered pair (m,n)(m,n). (a) (7,−1)(7,-1) (b) (−8,2)(-8,2) (c) (1,−7)(1,-7) (d) (−5,−1)(-5,-1)

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