SOLUTION: Find an ordered pair of constants (a,b) such that the polynomial f(x)=x^3+ax^2+(b+2)x+1 is divisible by x^2-1. Enter your answer as an ordered pair in the format (a,b)

Question 1077689: Find an ordered pair of constants (a,b) such that the polynomial f(x)=x^3+ax^2+(b+2)x+1 is divisible by x^2-1.
Enter your answer as an ordered pair in the format (a,b)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
To be divisible by ,
must be divisible by , and by .
That means that it must be true that and that .

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