SOLUTION: Write an equation in the form ax^2 + bx + c = 0 if the sum of the roots is 5 and the product of the roots is 3. Thanks very much!

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Question 411596: Write an equation in the form ax^2 + bx + c = 0 if the sum of the roots is 5 and the product of the roots is 3.
Thanks very much!

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the roots is -b%2Fa+=+5, and the product is c%2Fa+=+3. Here, a can vary since b and c will be determined. If we assume a = 1, then our polynomial is x%5E2+-+5x+%2B+3. We can multiply by the constant a to obtain ax%5E2+-+5ax+%2B+3a.