SOLUTION: I'm sorry if this is actually two questions, but any help at all is highly appreciated. Find the cubic polynomial function f(x) that satisfy the given conditions: a. Zeros 1 a

Question 848295: I'm sorry if this is actually two questions, but any help at all is highly appreciated.
Find the cubic polynomial function f(x) that satisfy the given conditions:
a. Zeros 1 and 2

b. f(0)=1 and f(-1)=4
Could someone please explain this to me?
Thanks guys!

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Both conditions are not complete; maybe because the question is intended as open-ended.

(a) indicates that two roots are (x-1) and (x-2). You must have EITHER one more root, OR repeat one of the two listed roots. You have a somewhat not fully determined cubic expression, . For a polynomial, multiply the three binomials, including the variable binomial.

(b) make a choice for your "c". You will need to include a factor, whatever you want to call it, my choice being k.
You have and you make what choice of c that you want. Use the given f values information and solve for k.
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