SOLUTION: Finding a polynomial function for with real coefficients that has 4 degree,zeros of -1, 2, i. Also a solution point f(1)=8. I need to write it in completely factored and polynomi

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Finding a polynomial function for with real coefficients that has 4 degree,zeros of -1, 2, i. Also a solution point f(1)=8. I need to write it in completely factored and polynomi      Log On


   

Question 1051516: Finding a polynomial function for with real coefficients that has 4 degree,zeros of -1, 2, i. Also a solution point f(1)=8. I need to write it in completely factored and polynomial forms.
Thanks,
Msu8690@gmail.com
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Limited help and you find the rest of the way:

f%28x%29=k%28x%2B1%29%28x-2%29%28x-i%29%28x-%28-i%29%29, and for ease in finding k, avoid simplifying the function too far.

f(1)=8, just using simple substitution for x, and use this to find k.