Pre Calculus
posted by Josh .
Find a third degree polynomial P(x) that has zeros at x=1, x=1, x=2 and whose xterm has coefficient 3?

P(x) = a(x+1)(x1)(x2)
= ax^3  2ax^2  ax + 2a
Looks like a = 3
P(x) = 3(x+1)(x1)(x2) = 3x^3 + 6x^2 + 3x  6