SOLUTION: 1) Write a quadratic equation having the given numbers as solutions -10 and -5

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Question 129724: 1) Write a quadratic equation having the given numbers as solutions
-10 and -5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x=-10 or x=-5 Start with the given roots


x%2B10=0 or x%2B5=0 Get all of the terms to the left side.


%28x%2B10%29%28x%2B5%29=0 Now use the zero product property in reverse. Remember the zero product property says that if A%2AB=0 then A=0 or B=0


x%5E2%2B5x%2B10x%2B50=0 Now foil the expression


x%5E2%2B15x%2B50=0 Combine like terms


So the quadratic equation with the roots -10 and -5 is

f%28x%29=x%5E2%2B15x%2B50