SOLUTION: Hi! I'm working on a review sheet for my Algebra II class, and I need help on a problem. Solve completely over the set of complex numbers by factoring; show work: {{{x^3+5x^

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hi! I'm working on a review sheet for my Algebra II class, and I need help on a problem. Solve completely over the set of complex numbers by factoring; show work: {{{x^3+5x^      Log On


   

Question 606815: Hi!
I'm working on a review sheet for my Algebra II class, and I need help on a problem.
Solve completely over the set of complex numbers by factoring; show work:
x%5E3%2B5x%5E2-18x=90
Thanks!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
x^3 + 5x^2 - 18x - 90 = 0

(x^3 + 5x^2) - (18x + 90) = 0

factoring ___ x^2(x + 5) - 18(x + 5) = 0

(x^2 - 18)(x + 5) = 0

factoring ___ (x + 3√2)(x - 3√2)(x + 5) = 0