SOLUTION: Find all other zeros of P(x)=x^3 -x^2 +8x +10, given that 1-3i is a zero.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all other zeros of P(x)=x^3 -x^2 +8x +10, given that 1-3i is a zero.      Log On


   

Question 759889: Find all other zeros of P(x)=x^3 -x^2 +8x +10, given that 1-3i is a zero.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
x%5B1%5D=1-3i
then
x%5B2%5D=1%2B3i

%0D%0A%28x-1-3i%29%28x-1%2B3i%29=x%5E2-x-3ix-x%2B1%2B3i%2B3ix-3i%2B9%0D%0A
so one factor must be
%0D%0Ax%5E2-2x%2B10%0D%0A
after long division...
P%28x%29%2F%28x%5E2-2x%2B10%29=x%2B1

zeros:

{1-3i, 1+3i, -1}}}