SOLUTION: Given that 𝑓(𝑥) is a cubic function with zeros at −9, −1, and 6, find an equation for 𝑓(𝑥) given that 𝑓(10)=9.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given that 𝑓(𝑥) is a cubic function with zeros at −9, −1, and 6, find an equation for 𝑓(𝑥) given that 𝑓(10)=9.      Log On


   

Question 1176262: Given that 𝑓(𝑥) is a cubic function with zeros at −9, −1, and 6, find an equation for 𝑓(𝑥) given that 𝑓(10)=9.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


A cubic function with zeros at -9, -1, and 6 in factored form is

f%28x%29+=+a%28x%2B9%29%28x%2B1%29%28x-6%29

Find the value of the leading coefficient a using the knowledge that f(10) = 9:

9+=+a%2810%2B9%29%2810%2B1%29%2810-6%29

I leave it to you to find that coefficient.