SOLUTION: We are finding the equation that these functions come from, so we are basically solving backwards. the Problem is: find F(x)if F(2+i)=0 and F(2-i)=0. I have tried plugging in x f

Algebra ->  Functions -> SOLUTION: We are finding the equation that these functions come from, so we are basically solving backwards. the Problem is: find F(x)if F(2+i)=0 and F(2-i)=0. I have tried plugging in x f      Log On


   



Question 289077: We are finding the equation that these functions come from, so we are basically solving backwards. the Problem is: find F(x)if F(2+i)=0 and F(2-i)=0. I have tried plugging in x for i and other random things But not sure what exactly to do. Thank you for your help :)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
since F(x) is zero for these two values, they are roots of the equation
___ complex roots occur in conjugate pairs; that's why these two are the same, except for the sign

if r is a root, then (x-r) is a factor

F(x) = [x - (2+i)] [x - (2-i)] = (x - 2 - i) (x - 2 + i) = x^2 - 4x + 5