If $P(x)={{x}^{4}}+3{{x}^{2}}-2x+5$,and $Q(x)=x+2$, find an expression for $P(x)+Q(x)$, and \(

Question

If $P(x)={{x}^{4}}+3{{x}^{2}}-2x+5$,and $Q(x)=x+2$, find an expression for $P(x)+Q(x)$, and $P(x)-Q(x)$. State the degree of each expression.

Accepted Answer

(a) $x^4+3x^2-x+7$, degree $4$ (b) $x^4+3x^2-3x+3$, degree $4$

Addition and Subtraction of Polynomials