# Factor the following polynomials. (a)x^{2} - 8x (b)x^{3} +

hionormf 2021-12-14 Answered
Factor the following polynomials. (a)${x}^{2}-8x$ (b)${x}^{3}+3{x}^{2}-18x$ (c) ${x}^{3}-10x$
You can still ask an expert for help

Expert Community at Your Service

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Available 24/7
• Math expert for every subject
• Pay only if we can solve it

## Expert Answer

Jim Hunt
Answered 2021-12-15 Author has 45 answers
Step 1
Consider the polynomials
(a)${x}^{2}-8x$
(b)${x}^{3}+3{x}^{2}-18x$
(c)${x}^{3}-10x$
Step 2
(a)${x}^{2}-8x$
${x}^{2}-8x=x\left(x-8\right)$
Step 3
(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(x(x+6)-3(x+6))
=x((x+6)(x-3))
=x(x+6)(x-3)
${x}^{3}+3{x}^{2}-18x=x\left(x+6\right)\left(x-3\right)$
Step 4
(c)${x}^{3}-10x$
${x}^{3}-10x=x\left({x}^{2}-10\right)$

We have step-by-step solutions for your answer!

Debbie Moore
Answered 2021-12-16 Author has 43 answers
(a)${x}^{2}-8x=x\left(x-8\right)$
After factoring out x we have:
${x}^{2}-8x=x\left(x-8\right)$
(b)${x}^{3}+3{x}^{2}-18x=x\left(x-3\right)\left(x+6\right)$
Explanation:
After factoring out x we have:
${x}^{3}+3{x}^{2}-18x=x\left({x}^{2}+3x-18\right)$
(c)${x}^{3}-10x=x\left({x}^{2}-10\right)$
After factoring out x we have:
${x}^{3}-10x=x\left({x}^{2}-10\right)$

We have step-by-step solutions for your answer!

Expert Community at Your Service

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Available 24/7
• Math expert for every subject
• Pay only if we can solve it