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

hionormf 2021-12-14 Answered
Factor the following polynomials. (a)x28x (b)x3+3x218x (c) x310x
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Expert Answer

Jim Hunt
Answered 2021-12-15 Author has 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)

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Debbie Moore
Answered 2021-12-16 Author has 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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