SOLUTION: i have a problem : find the cubic function f(x)=a(x)^3+b(x)^2+cx+d having the roots 1,2,3 and satisfying the condition f(0)=5 can you give me an example please?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i have a problem : find the cubic function f(x)=a(x)^3+b(x)^2+cx+d having the roots 1,2,3 and satisfying the condition f(0)=5 can you give me an example please?      Log On


   

Question 997890: i have a problem :
find the cubic function f(x)=a(x)^3+b(x)^2+cx+d having the roots 1,2,3 and satisfying the condition f(0)=5
can you give me an example please?
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=a%28x-1%29%28x-2%29%28x-3%29

Find factor a using the given point.
a%280-1%29%280-2%29%280-3%29=5
What is a ?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


For starters, if then . If is a zero of a polynomial, then is a factor of the polynomial. For any given polynomial , all polynomials of the form have the same set of zeros.

So you need to multiply the three factors and then find the appropriate value of so that the constant term is equal to 5.

John

My calculator said it, I believe it, that settles it