SOLUTION: find all the real and imaginary zeros for the polynomial function 54x^3-27x^2-69x-18

Algebra ->  Trigonometry-basics -> SOLUTION: find all the real and imaginary zeros for the polynomial function 54x^3-27x^2-69x-18      Log On


   

Question 845884: find all the real and imaginary zeros for the polynomial function 54x^3-27x^2-69x-18
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
54x%5E3-27x%5E2-69x-18=3%2827x%5E3-9x%5E2-31x-6%29
54x%5E3-27x%5E2-69x-18=3%283x%2B1%29%283x%2B2%29%282x-3%29
Three solutions:
3x%2B1=0
3x=-1
x=-1%2F3
and
3x%2B2=0
3x=-2
x=-2%2F3
and
2x-3=0
2x=3
x=3%2F2
.
.
.
graph%28300%2C300%2C-2%2C2%2C-20%2C20%2C54x%5E3-27x%5E2-69x-18%29