SOLUTION: show that the function is a quadratic function by writting it in the quadratic form and identify a, b, and c, f(x)= (x+7)(x+5)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: show that the function is a quadratic function by writting it in the quadratic form and identify a, b, and c, f(x)= (x+7)(x+5)      Log On


   

Question 50800: show that the function is a quadratic function by writting it in the quadratic form and identify a, b, and c, f(x)= (x+7)(x+5)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%28x%2B7%29%28x%2B5%29 Multiply the two factors using FOIL.
f%28x%29+=+x%5E2%2B5x%2B7x%2B35 Simplify.
f%28x%29+=+x%5E2%2B12x%2B35 Now compare with the general/standard form of the quadratic equation:
f%28x%29+=+ax%5E2%2Bbx%2Bc You can easily identify:
a+=+1
b+=+12
c+=+35