SOLUTION: Use the given zero to find the remaining zeros of the function: x^3+3x^2+9x-13 zeros: -2+3i

Algebra ->  Functions -> SOLUTION: Use the given zero to find the remaining zeros of the function: x^3+3x^2+9x-13 zeros: -2+3i       Log On


   

Question 974545: Use the given zero to find the remaining zeros of the function:

x^3+3x^2+9x-13
zeros: -2+3i

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The other complex zero is -2-3i. Together, these two give the quadratic factor, %28x-%28-2%2B3i%29%29%28x-%28-2-3i%29%29
%28x%2B2-3i%29%28x%2B2%2B3i%29
%28%28x%2B2%29-3i%29%28%28x%2B2%29%2B3i%29
%28x%2B2%29%5E2%2B9
x%5E2%2B4x%2B4%2B9
x%5E2%2B4x%2B13

Divide the given cubic expression or function by x%5E2%2B4x%2B13. Use polynomial division if necessary. I am not showing that work here, but the quotient will be x-1. The zero for this is +1.