Factor the following polynomials. a) x2−8x b) x3+3x2−18x c) x3−10x

Albarellak

Answered question

2021-08-31

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

Answer & Explanation

Maciej Morrow

Skilled2021-09-01Added 98 answers

Consider the polynomials
a) ${x}^{2}-8x$
b) ${x}^{3}+3{x}^{2}-18x$
c) ${x}^{3}-10x$
a) ${x}^{2}-8x$ ${x}^{2}-8x=x(x-8)$
b) ${x}^{3}+3{x}^{2}-18x$ ${x}^{3}+3{x}^{2}-18x=x({x}^{2}+3x-18)$ $=x({x}^{2}+6x-3x-18)$ $=x(x(x+6)-3(x+6))$ $=x(x+6)(x-3)$ ${x}^{3}+3{x}^{2}-18x=x(x+6)(x-3)$
c) ${x}^{3}-10x$ ${x}^{3}-10x=x({x}^{2}-10)$