SOLUTION: what is a polynomial function of lowest degree with rational coefficents so that P(x) = 0 has the given roots. x = -2 , x = 6 P(x) = ____

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Question 1010090: what is a polynomial function of lowest degree with rational coefficents so that P(x) = 0 has the given roots.
x = -2 , x = 6
P(x) = ____
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

P%28x%29+=+0 has the given roots.
x%5B1%5D+=+-2 , +x%5B2%5D+=+6

P%28x%29+=+%28x-x%5B1%5D%29%28x-x%5B2%5D%29
P%28x%29+=+%28x-%28-2%29%29%28x-6%29
P%28x%29+=+%28x%2B2%29%28x-6%29
P%28x%29+=+x%5E2-6x%2B2x-12
P%28x%29+=+x%5E2-4x-12

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-4x-12%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is a polynomial function of lowest degree with rational coefficents so that P(x) = 0 has the given roots.
x = -2 , x = 6
P(x) = (x+2)(x-6) = x^2 - 4x - 12
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Cheers,
Stan H.
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