SOLUTION: Write a quadratic function having the given solutions:-5,3

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Question 224745: Write a quadratic function having the given solutions:-5,3
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic function having the given solutions: -5, 3

Step 1. Since they are solutions given as x=-5 and x-3, then

Adding 5 to both sides of the equation x=-5

x%2B5=-5%2B5

x%2B5=0

Add 3 to both sides of the equation x=-3

x%2B3=-3=3

x%2B3=0

Step 2. Now, multiply %28x%2B5%29%28x%2B3%29=0 using the FOIL method.

%28x%2B5%29%28x%2B3%29=x%5E2%2B3x%2B5x%2B3%2A5=0

%28x%2B5%29%28x%2B3%29=x%5E2%2B8x%2B15=0

Step 3. ANSWER: The quadratic equation is x%5E2%2B8x%2B15=0

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J