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Step-by-step Solution

Simplify the expression $\frac{x^3-2x^2+70}{x+4}$

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Answer

$x^{2}-6x+24+\frac{-26}{x+4}$

Step-by-step explanation

Problem to solve:

$\frac{x^3-2x^2+70}{x+4}$
1

Divide $x^3-2x^2+70$ by $x+4$

$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}x^{2}-6x\phantom{;}+24\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}x^{3}-2x^{2}\phantom{-;x^n}+70\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-x^{3}-4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-4x^{2};}-6x^{2}\phantom{-;x^n}+70\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}6x^{2}+24x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}6x^{2}+24x\phantom{;}-;x^n;}\phantom{;}24x\phantom{;}+70\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n-;x^n;}\underline{-24x\phantom{;}-96\phantom{;}\phantom{;}}\\\phantom{;;-24x\phantom{;}-96\phantom{;}\phantom{;}-;x^n-;x^n;}-26\phantom{;}\phantom{;}\\\end{array}$
2

Resulting polynomial

$x^{2}-6x+24+\frac{-26}{x+4}$

Answer

$x^{2}-6x+24+\frac{-26}{x+4}$

Problem Analysis

$\frac{x^3-2x^2+70}{x+4}$

Time to solve it:

~ 0.47 seconds