Let and . Define . What is the maximum possible number of distinct real zeros of…

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

Problem

Let p(x)=x4−2x2+1p(x)=x^4-2x^2+1 and q(x)=−x4+5x2−4q(x)=-x^4+5x^2-4. Define r(x)=p(x)+q(x)r(x)=p(x)+q(x). What is the maximum possible number of distinct real zeros of r(x)r(x)? (a) 44 (b) 00 (c) 22 (d) 11

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