What is the expression in factored form? -4x^2+8x+32

Hello! And thank you for your question!

First find the Greatest Common Factor:

GCD = 4

Then factor out the GCF:

4(4x^2 over 4 + -8x over 4 - 32 over 4)

Then simplify each term that is in parentheses:

-4(x^2 - 2x - 8)

Finally factor x^2 - 2x - 8:

-4(x - 4)(x + 2)

Final

-4(x - 4)(x + 2)

First we find the GCF
Next write the GCF, and divide each term by the GCF inside the parenthesis
Then reduce each term to lowest in parenthesis
And lastly factor  - 2x - 8

-4(x - 4)(x + 2)