SOLUTION: Factoring Completely: How do you factor a problem like this: (x^2 + 10x + 21)

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Question 159231: Factoring Completely: How do you factor a problem like this: (x^2 + 10x + 21)

Answer by KnightOwlTutor(293)   (Show Source): You can put this solution on YOUR website!
Use the quadratic equation:
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=16 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -3, -7. Here's your graph:
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