"A cubic function f(x) with integral coefficients has the following properties: f(3/2) = 0, (x-2) is a factor of f(x), and f(4) = 50. Determine f(x)."
How do I solve this?
The two factors are (x - 3/2) and (x - 2), right?
I don't know what to do from there.
A cubic function f(x) with integral coefficients has the following properties:
. . is a factor of , and
Two of the factors are: . and
Since the function is a cubic, there is a third factor: .
Since , we have: .
. . which simplifies to: .
Therefore, the cubic is: .