SOLUTION: I just learned this today and not sure how to do this. Please help. I have a quiz tomorrow on it. It is factoring. Thank you!! 4m^2+20m+24

Question 248453: I just learned this today and not sure how to do this. Please help. I have a quiz tomorrow on it. It is factoring. Thank you!!
4m^2+20m+24
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
factor out 4 first
4m^2+20m+24
4*(m^2+5m+6)
We are looking for factors of 6 that add up to 5
6,1 or 3,2
obviously 3,2
4(m+3)(m+2)
see another way to work out the equation

Solved by pluggable solver: SOLVE quadratic equation with variable

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=1 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -2, -3. Here's your graph:

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