SOLUTION: Find the rule of the cubic function that passes through the points (-5,0), (2,0), (3,0) and (0,20). Give your final answer in the form y=ax^3+bx^2+cx+d.

Algebra ->  Vectors -> SOLUTION: Find the rule of the cubic function that passes through the points (-5,0), (2,0), (3,0) and (0,20). Give your final answer in the form y=ax^3+bx^2+cx+d.      Log On


   

Question 1031404: Find the rule of the cubic function that passes through the points (-5,0), (2,0), (3,0) and (0,20). Give your final answer in the form y=ax^3+bx^2+cx+d.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=a%28x%2B5%29%28x-2%29%28x-3%29
f%280%29=a%280%2B5%29%280-2%29%280-3%29=20
a%285%29%28-2%29%28-3%29=20
a=10%2F3
So then,
f%28x%29=%282%2F3%29%28x%2B5%29%28x-2%29%28x-3%29
f%28x%29=%282%2F3%29%28x%2B5%29%28x%5E2-5x%2B6%29
f%28x%29=%282%2F3%29%28x%5E3-19x%2B30%29
f%28x%29=%282%2F3%29x%5E3-%2838%2F3%29x%2B20
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