SOLUTION: Question 1. Write the equation of a cubic function that has zeros at -2,3,and 2/5.The function has also a y intercept of 6. Thank You

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Question 1. Write the equation of a cubic function that has zeros at -2,3,and 2/5.The function has also a y intercept of 6. Thank You      Log On


   

Question 1069344: Question 1.
Write the equation of a cubic function that has zeros at -2,3,and 2/5.The function has also a y intercept of 6.
Thank You
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x%2B2%29%28x-3%29%28x-2%2F5%29
So when x=0, y=6,
6=a%280%2B2%29%280-3%29%280-2%2F5%29
6=a%2812%2F5%29
a=5%2F2
.
.
y=%285%2F2%29%28x%2B2%29%28x-3%29%28x-2%2F5%29
.
.
or expanding,
y=%285%2F2%29x%5E3-%287%2F2%29x%5E2-14x%2B6