Math
posted by Nilan on .
Produce a third degree polynomial that has exactly the roots 3 and 5 with yintercept 1350.
I understand I could start with (x+3)(x5)^2, but i don't know how to get the yintercept 1350 with the same conditions. Please help. thank you.

We don't know that 5 is a double root. So,
y = (x+3)(x5)(xk) = <powers of x> + 15k
So, since the yintercept is where x=0, all the <powers of x> go away and we have 15k = 1350
k = 90
y = (x+3)(x5)(x90)