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

hionormf

hionormf

Answered question

2021-12-14

Factor the following polynomials. (a)x28x (b)x3+3x218x (c) x310x

Answer & Explanation

Jim Hunt

Jim Hunt

Beginner2021-12-15Added 45 answers

Step 1
Consider the polynomials
(a)x28x
(b)x3+3x218x
(c)x310x
Step 2
(a)x28x
x28x=x(x8)
Step 3
(b)x3+3x218x
x3+3x218x=x(x2+3x18)
=x(x2+6x3x18)
=x(x(x+6)-3(x+6))
=x((x+6)(x-3))
=x(x+6)(x-3)
x3+3x218x=x(x+6)(x3)
Step 4
(c)x310x
x310x=x(x210)
Debbie Moore

Debbie Moore

Beginner2021-12-16Added 43 answers

(a)x28x=x(x8)
After factoring out x we have:
x28x=x(x8)
(b)x3+3x218x=x(x3)(x+6)
Explanation:
After factoring out x we have:
x3+3x218x=x(x2+3x18)
(c)x310x=x(x210)
After factoring out x we have:
x310x=x(x210)

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