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

Question 1031408: 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 robertb(5830) (Show Source): You can put this solution on YOUR website!
Notice that the points (-5,0), (2,0), (3,0) give the x-intercepts of the cubic function, hence the roots of that function.
==>
for some undetermined constant k.
Since f(0) = 20, ==> ==> .
Therefore the function is , which is just
.
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