a) Ta có: f(x)+h(x)=g(x)
\(\Leftrightarrow h\left(x\right)=g\left(x\right)-f\left(x\right)\)
\(\Leftrightarrow h\left(x\right)=-x^5-5x^3+4x+2-x^5+3x^2-2x+1\)
\(\Leftrightarrow h\left(x\right)=-2x^5-5x^3+3x^2+2x+3\)
b) Ta có: g(x)+h(x)=f(x)
\(\Leftrightarrow h\left(x\right)=f\left(x\right)-g\left(x\right)\)
\(\Leftrightarrow h\left(x\right)=x^5-3x^2+2x-1+x^5+5x^3-4x-2\)
\(\Leftrightarrow h\left(x\right)=2x^5+5x^3-3x^2-2x-3\)