Question
Asked Oct 1, 2019

Factor. (If the expression is nonfactorable over the integers, enter NONFACTORABLE.)

x2 + 20x + 100
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Expert Answer

Step 1

Factor the given expression.

To factor the given expression , find out two factors whose product is 100 and sum is 20.

x220x100
product 100
sum =20
10 10 100
10+10 20
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x220x100 product 100 sum =20 10 10 100 10+10 20

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Step 2

Two factors are 10 and 10. Break the middle term using the factors. Group the first two terms and last two terms.

20x100
x210x10100
(x10x10x 100)
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20x100 x210x10100 (x10x10x 100)

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Step 3

Take out GCF from eac...

(x10x)(10 +100)
xx10)10 10)
(x10)x 10)
(x+10)
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(x10x)(10 +100) xx10)10 10) (x10)x 10) (x+10)

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Math

Algebra