SOLUTION: The roots of a quadratic are -7 and -2. What is the equation of the quadratic function?

Question 702568: The roots of a quadratic are -7 and -2. What is the equation of the quadratic function?
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If is a root of a polynomial equation, then is a factor of the polynomial.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The roots of a quadratic are -7 and -2. What is the equation of the quadratic function?
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If a is a root, x-a is a factor.
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f(x) = (x--7)(x--2) = (x+7)(x+2) = x^2 + 9x + 14
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Cheers,
Stan H.
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