Given that $\mathrm{P}\left( x \right)=4{{x}^{5}}+2{{x}^{3}}-2{{x}^{2}}+5$ and \(\mathrm{Q}\l

Question

Given that $\mathrm{P}\left( x \right)=4{{x}^{5}}+2{{x}^{3}}-2{{x}^{2}}+5$ and $\mathrm{Q}\left( x \right)={{x}^{2}}$, find the expressions $\mathrm{P}\left( x \right)+\mathrm{Q}\left( x \right)$, $\mathrm{P}\left( x \right)-\mathrm{Q}\left( x \right)$, and state the degree of each expression.

Accepted Answer

(a) $4x^5+2x^3-x^2+5$, degree $5$ (b) $4x^5+2x^3-3x^2+5$, degree $5$

Polynomials, Cubic Equations and Partial Fractions - Polynomial Notation, Degree and Evaluation

Polynomials, Cubic Equations and Partial Fractions - Polynomial Notation, Degree and Evaluation

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