SOLUTION: Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated list. Include the given zero in your answer.) Function g(x) = x3 − 2x2 −

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated list. Include the given zero in your answer.) Function g(x) = x3 − 2x2 −      Log On


   

Question 1136714: Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated list. Include the given zero in your answer.)
Function
g(x) = x3 − 2x2 − 6x + 72
Zero
3 + 3i
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

g%28x%29+=+x%5E3-+2x%5E2+-6x+%2B+72
Zero
if you have 3+%2B+3i+, you also have 3+-+3i+; complex zeros always coming in pairs
find zero product
%28x-%283+%2B+3i%29+%29%28x-%283+-+3i%29+%29
=%28x-3+-+3i+%29%28x-3+%2B3i+%29
=x%5E2+-+6+x+%2B+18
use long division, divide x%5E3-+2x%5E2+-6x+%2B+72 by x%5E2+-+6+x+%2B+18
...................................(x%2B4
x%5E2+-+6+x+%2B+18|x%5E3-+2x%5E2+-6x+%2B+72
...................................x%5E3+-+6+x%5E2+%2B+18x.....subtract
.........................................4x%5E2-24x
.........................................4x%5E2-24x%2B72
..............................................4x%5E2-24x%2B72....subtract
.................................................................0
third zero is x%2B4

so, your answer is: x%2B4,3+%2B+3i+,3+-+3i+

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated list. Include the given zero in your answer.)
Function
g(x) = x3 − 2x2 − 6x + 72
Zero
3 + 3i
NOPE, not gonna do THIS =====> (Enter your answers as a comma-separated list.......

highlight_green%28matrix%281%2C3%2C+3%5E%28rd%29%2C+%22zero%3A%22%2C+-+4%29%29