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

Question 166604: 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!!!
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
As you say:
(x-5)(x-1)
x^2 - x - 5x + 5
x^2 - 6x + 5
.
So,
F(x) = x^2 - 6x + 5
.
F(1) = 1^2 - 6(1) + 5
F(1) = 1 - 6 + 5
F(1) = 0
.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
------------------------
Right. That is why you need a variable factor,like "k" below.
---------
f(x) = k(x-5)(x-1)
---
Now you get f(0) = k(-5)(-1) = 1
5k = 1
k = 1/5
------------
EQUATION:
y = (1/5)(x-5)(x-1)
==========================
Cheers,
Stan H.

RELATED QUESTIONS
Write the equation of a quadratic that has zeros of 5 and 1 with F(0)=1. I understand you (answered by Earlsdon)
Please write the equation of a quadratic that has zeros of 5 and 1 with f(0)=1. Please... (answered by Earlsdon)
Find a polynomial f(x) of degree 3 that has the indicated zeros -2 1 5 and satisfies the... (answered by stanbon)
I have a question on polynomials with prescribed zeros. The problem is find polynomial... (answered by ankor@dixie-net.com)
The stated problem: Given that the polynomial function has the given zero, find the other (answered by ReadingBoosters)
How would you find the equation for the quadratic function that has zeros 5 and 1 and... (answered by robertb)
I don't understand how to get the final answer to this type of problem. Fourth degree, (answered by Fombitz)
I have several questions I don't understand and need answered. 1. Identify the roots... (answered by Alan3354)
I'm a bit confused with these problems. I get it somewhat, but for some reason I get... (answered by bucky)