SOLUTION: Write a polynomial function with integral coefficients that has -2 and 3i as roots. Graph your function.

Algebra ->  Trigonometry-basics -> SOLUTION: Write a polynomial function with integral coefficients that has -2 and 3i as roots. Graph your function.      Log On


   

Question 1191678: Write a polynomial function with integral coefficients that has -2 and 3i as roots. Graph your function.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given -2 and 3i+as roots
=>-3i+ is aso a root (This comes with conjugate pairs)
the factors are:
%28x-%28-2%29%29=x%2B2
x-3i+
x-%283i+%29=x%2B3i
then
f%28x%29=%28x%2B2%29%28x-3i%29%28x%2B3i%29
f%28x%29=x%5E3+%2B+2x%5E2+%2B+9x+%2B+18

+graph%28+600%2C+600%2C+-10%2C+10%2C+-50%2C+50%2C+x%5E3+%2B+2x%5E2+%2B+9x+%2B+18%29+