SOLUTION: factor completely: 44b^2-108b-72 showing all work

Question 798406: factor completely: 44b^2-108b-72 showing all work
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
factor completely: 44b^2-108b-72 showing all work
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Divide by 4
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1521 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -0.545454545454545. Here's your graph:

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Other than the 4, it can't be factored.
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