Cách làm cho bạn:
a) \(P(x) + Q(x) = x^5 - 2x^2+ 1\)
\(\Rightarrow Q(x)=x^5-2x^2+1-P(x)\)
\(=x^5-2x^2+1-\left ( x^4 - 3x^2 + \frac{1}{2}- x \right )\)
\(=x^5-2x^2+1-x^4 + 3x^2 - \frac{1}{2}+ x\)
\(=x^5-x^4+3x^2-2x^2+x+1-\frac{1}{2}\)
\(=x^5-x^4+x^3+x+\frac{1}{2}\)
b) \(P(x) – R(x) = x^3\)
\(\Rightarrow R(x)=P(x)-x^3\)
\(=x^4 - 3x^2 + \frac{1}{2}- x-x^3\)
\(=x^4-x^3-3x^2-x+\frac{1}{2}\)
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