SOLUTION: Create a quadratic equations with the solutions -5 and -3. The answer was x^2 + 8x + 15 =0 Totally lost how they got the answer!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Create a quadratic equations with the solutions -5 and -3. The answer was x^2 + 8x + 15 =0 Totally lost how they got the answer!       Log On


   

Question 968908: Create a quadratic equations with the solutions -5 and -3.
The answer was x^2 + 8x + 15 =0
Totally lost how they got the answer!
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the factored form. You are interested in a format %28x-m%29%28x-n%29=0.

Your two possible solutions are to be -5 and -3.
Using Zero Product Rule,
%28x-%28-5%29%29%28x-%28-3%29%29=0
%28x%2B5%29%28x%2B3%29=0, a factored form of the quadratic equation you want. If you want the general form, then just perform the multiplication.