SOLUTION: Write the equation of a quadratic that has zeros of 5 and 1 with F(0)=1. I understand you need to multiply (x-5)(x-1) to get the polynomial, but f(0) wouldnt equal 1. PLEASE HELP M

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Write the equation of a quadratic that has zeros of 5 and 1 with F(0)=1. I understand you need to multiply (x-5)(x-1) to get the polynomial, but f(0) wouldnt equal 1. PLEASE HELP M      Log On


   

Question 166605: Write the equation of a quadratic that has zeros of 5 and 1 with F(0)=1. I understand you need to multiply (x-5)(x-1) to get the polynomial, but f(0) wouldnt equal 1. PLEASE HELP ME OUT!!!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You are absolutely correct in what you have said!
If x = 5 and x = 1 are zeros of the quadratic equation then (x-5) and (x-1) are factors, so their product will give you the equation:
%28x-5%29%28x-1%29+=+x%5E2-6x-5
So that you would have:
f%28x%29+=+x%5E2-6x%2B5 and, of course:
f%280%29+=+0-0%2B5
f%280%29+=+5 Not 1!
But, I'm wondering if something didn't get turned around here and what was really intended was:
f%281%29+=+0 ...and this is certainly true!