Question

Factor Completely. 5x^2+40x-100

Answer 1

Find the Greatest Common Factor (GCF)

GCF = 5

Factor out the GCF (Write the GCF first, then in parenthesis, divide each term by the GCF)

5(5x^2/5 + 40x/5 - 100/5)

Simplify each term in parenthesis

5(x^2 + 8x - 20)

Factor x^2 + 8x - 20

= 5(x - 2)(x + 10)

Answer 2

`5(x+10)(x-2)`

Explanation:

To solve this problem, take 5 as a common factor of expression

`5(x^2 +8x - 20)\\`

Now look for two numbers that multiplied are equal to -20 and when you add both you get 8.

These numbers are 10 and -2.

Then we write the expression as:

`5(x+10)(x-2)`