SOLUTION: Pick distinct numbers from –10 to 10 not including zero for the parameters a, b, and c. Find a polynomial function F(x) such that: 1. F(a)=0 2. F(b)=0 3. F(c)=0 Please help

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Pick distinct numbers from –10 to 10 not including zero for the parameters a, b, and c. Find a polynomial function F(x) such that: 1. F(a)=0 2. F(b)=0 3. F(c)=0 Please help       Log On


   



Question 912489: Pick distinct numbers from –10 to 10 not including zero for the parameters a, b, and c. Find a polynomial function F(x) such that:
1. F(a)=0
2. F(b)=0
3. F(c)=0
Please help as I am lost as to where to even start with this.
Thank you!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think a,b,c have to fit in the range between -10 and 10 and not include zero.
So f%285%29=0, then x-5 is a factor of f(x).
Then pick two more.
Then,
f%28x%29=%28x-5%29%28x-1%29%28x%2B3%29
Then
a=5
b=1
c=-3