SOLUTION: Please write the equation of a quadratic that has zeros of 5 and 1 with f(0)=1. Please help me, I have no idea what to do!!!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please write the equation of a quadratic that has zeros of 5 and 1 with f(0)=1. Please help me, I have no idea what to do!!!      Log On


   



Question 165596: Please write the equation of a quadratic that has zeros of 5 and 1 with f(0)=1.
Please help me, I have no idea what to do!!!

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If a quadratic equation has zeros of 5 and 1, write the equation.
If a zero of the equation is x = 5, this means that (x-5) = 0 and therefore (x-5) is a factor of the equation.
Similarly, if x = 1 is a zero, this means that (x-1) = 0 and therefore, (x-1) is a factor of the equation.
To get the equation, you multiply the two factors.
%28x-5%29%28x-1%29+=+x%5E2-6x%2B5
The equation is:
f%28x%29+=+x%5E2-6x%2B5 and
f%281%29+=+1%5E2-6%281%29%2B5
f%281%29+=+1-6%2B5
f%281%29+=+0