SOLUTION: P(x) = x4 − 6x3 + 38x2 − 80x + 200;     2 + 4i Use the given zero to find the remaining zeros of the polynomial function.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: P(x) = x4 − 6x3 + 38x2 − 80x + 200;     2 + 4i Use the given zero to find the remaining zeros of the polynomial function.       Log On


   

Question 1099204: P(x) = x4 − 6x3 + 38x2 − 80x + 200;     2 + 4i
Use the given zero to find the remaining zeros of the polynomial function.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You want the other three roots of P?

If 2+4i is one root then 2-4i is also a root ....

The quadratic factor for these two roots is %28x-2-4i%29%28x-2%2B4i%29=%28%28x-2%29%5E2-i%5E2%2A16%29
x%5E2-4x%2B4%2B16
x%5E2-4x%2B20


Divide P(x) by x%5E2-4x%2B20 to find the other two roots.