Which one of the following statements is always true if the quadratic polynomial can…

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

Problem

Which one of the following statements is always true if the quadratic polynomial x2+bx+kx^{2}+bx+k can be written as (x+r)(x+s)(x+r)(x+s) with integers rr and ss? (a) r+s=−br+s=-b and rs=krs=k (b) r+s=kr+s=k and rs=brs=b (c) r+s=br+s=b and rs=krs=k (d) r+s=br+s=b and rs=−krs=-k

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