# Factor the following polynomials. a)x^2-8x b) x^3+3x^2-18x c) x^3-10x

Factor the following polynomials.
a) ${x}^{2}-8x$
b) ${x}^{3}+3{x}^{2}-18x$
c) ${x}^{3}-10x$
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Maciej Morrow
Consider the polynomials
a) ${x}^{2}-8x$
b) ${x}^{3}+3{x}^{2}-18x$
c) ${x}^{3}-10x$
a) ${x}^{2}-8x$
${x}^{2}-8x=x\left(x-8\right)$
b) ${x}^{3}+3{x}^{2}-18x$
${x}^{3}+3{x}^{2}-18x=x\left({x}^{2}+3x-18\right)$
$=x\left({x}^{2}+6x-3x-18\right)$
$=x\left(x\left(x+6\right)-3\left(x+6\right)\right)$
$=x\left(x+6\right)\left(x-3\right)$
${x}^{3}+3{x}^{2}-18x=x\left(x+6\right)\left(x-3\right)$
c) ${x}^{3}-10x$
${x}^{3}-10x=x\left({x}^{2}-10\right)$