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Divide $x^5-x^4-3x+5$ by $x^4-2x^3+2x^2-2x+1$
Learn how to solve factor problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{4}-2x^{3}+2x^{2}-2x\phantom{;}+1;}{\phantom{;}x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}x^{4}-2x^{3}+2x^{2}-2x\phantom{;}+1\overline{\smash{)}\phantom{;}x^{5}-x^{4}\phantom{-;x^n}\phantom{-;x^n}-3x\phantom{;}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{4}-2x^{3}+2x^{2}-2x\phantom{;}+1;}\underline{-x^{5}+2x^{4}-2x^{3}+2x^{2}-x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{5}+2x^{4}-2x^{3}+2x^{2}-x\phantom{;};}\phantom{;}x^{4}-2x^{3}+2x^{2}-4x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{4}-2x^{3}+2x^{2}-2x\phantom{;}+1-;x^n;}\underline{-x^{4}+2x^{3}-2x^{2}+2x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;-x^{4}+2x^{3}-2x^{2}+2x\phantom{;}-1\phantom{;}\phantom{;}-;x^n;}-2x\phantom{;}+4\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve factor problems step by step online. Integrate the function (x^5-x^4-3x+5)/(x^4-2x^32x^2-2x+1) from -2 to 0. Divide x^5-x^4-3x+5 by x^4-2x^3+2x^2-2x+1. Resulting polynomial. Expand the integral \int_{-2}^{0}\left(x+1+\frac{-2x+4}{x^4-2x^3+2x^2-2x+1}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-2}^{0} xdx results in: -2.