If a2+b2+c2=-2 and f(x)=1+a2x1+b2x1+c2x1+a2x1+b2x1+c2x1+a2x1+b2x1+c2x then degree of polynomial f(x) is
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answer is 2.
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Detailed Solution
Applying, C1→C1+C2+C3 we get f(x)=1+a2+b2+c2+2x1+b2x1+c2x1+a2+b2+c2+2x1+b2x1+c2x1+a2+b2+c2+2x1+b2x1+c2x=11+b2x1+c2x11+b2x1+c2x11+b2x1+c2xGiven a2+b2+c2+2=0 Applying R1→R1−R2, R2→R2−R3∴f(x)=0x−1001−xx−111+b2x1+c2xf(x) =x-12 Hence, degree of polynomial f(x)=2.