If $P(x)=3{{x}^{3}}+11{{x}^{2}}-4x+5$and $Q(x)=x+7$, find $P(x)\times Q(x)$, \(P(2)\times Q(2)

Question

If $P(x)=3{{x}^{3}}+11{{x}^{2}}-4x+5$and $Q(x)=x+7$, find $P(x)\times Q(x)$, $P(2)\times Q(2)$, the relationship between the degrees of $P(x),Q(x)$ and $P(x)\times Q(x)$.

Accepted Answer

(i) 3x^4+32x^3+73x^2-23x+35; (ii) 585; (iii) deg(PQ)=deg(P)+deg(Q).

Multiplication of Polynomials

Multiplication of Polynomials

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