SOLUTION: how to find a third degree polynomial function that f(-1)=3 and whose zeros are:1,2,and 3 ?

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Question 800086: how to find a third degree polynomial function that f(-1)=3 and whose zeros are:1,2,and 3 ?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=k%28x-1%29%28x-2%29%28x-3%29, using the zeros but not knowing the possible factor on the entire function.

Using the known other point, k%28-1-1%29%28-1-2%29%28-1-3%29=3
k%28-2%29%28-3%29%28-4%29=3
-24k=3
k=-1%2F8

highlight%28f%28x%29=-%281%2F8%29%28x-1%29%28x-2%29%28x-3%29%29
You can multiply and simplify if you want f in general form.