SOLUTION: please help what are the factors of {{{m^2-14m+48}}}?

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Question 40544: please help
what are the factors of ?
Found 3 solutions by checkley71, Nate, Earlsdon:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
(M-6)(M-8)
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!

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=4 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 8, 6. Here's your graph:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Try this:
The factor will be of the form (m+a)(m+b) where:
(a)(b) = +48
a + b = -14
The obvious candidates for a and b are 6 and 8, but since you need their sum to be -14, then -6 and -8 would be more logical choices. Let's try them, using FOIL.
Simplifying, you get
The factors are: (m-6)(m-8)
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