SOLUTION: Factor the expression. you

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Question 196799: Factor the expression.
you
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
4%282x%5E2%2B3x-4%29 you can factor out a 4 otherwise this is not factorable
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 8x%5E2%2B12x%2B-16+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%2812%29%5E2-4%2A8%2A-16=656.

Discriminant d=656 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-12%2B-sqrt%28+656+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%2812%29%2Bsqrt%28+656+%29%29%2F2%5C8+=+0.850781059358212
x%5B2%5D+=+%28-%2812%29-sqrt%28+656+%29%29%2F2%5C8+=+-2.35078105935821

Quadratic expression 8x%5E2%2B12x%2B-16 can be factored:
8x%5E2%2B12x%2B-16+=+%28x-0.850781059358212%29%2A%28x--2.35078105935821%29
Again, the answer is: 0.850781059358212, -2.35078105935821. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B12%2Ax%2B-16+%29