\(M\left(x\right)=\dfrac{-1}{4}x^5+3x^4+x^3-8x^2-x+3\)
\(N\left(x\right)=\dfrac{1}{5}x^5-x^4-2x^3+2\)
\(M\left(x\right)+N\left(x\right)=-\dfrac{1}{20}x^5+2x^4-x^3-8x^2-x+5\)
\(M\left(x\right)-N\left(x\right)=\dfrac{-9}{20}x^5+4x^4+3x^3-8x^2-x+1\)
\(N\left(x\right)-M\left(x\right)=\dfrac{9}{20}x^5-4x^4-3x^3+8x^2+x-1\)