SOLUTION: I need your help again! Can you please factor this polynomial for me? <I>z</I>³ - 6 + 2<I>z</I> - 3<I>z</I>² (I could check by using the FOIL Method, but I'd rather not.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need your help again! Can you please factor this polynomial for me? <I>z</I>³ - 6 + 2<I>z</I> - 3<I>z</I>² (I could check by using the FOIL Method, but I'd rather not.      Log On


   

Question 1164619: I need your help again!
Can you please factor this polynomial for me?
z³ - 6 + 2z - 3z²
(I could check by using the FOIL Method, but I'd rather not. For your information, also, I tried to come up with the perfect greatest common factor for this polynomial, but I can't seem to think straight out of my head. I have already known how to factor by grouping, though. This looks like an awful tough one I have ever seen in my career!)
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
factor this polynomial for me?
z³ - 6 + 2z - 3z²
rearrange
z%5E3-3z%5E2%2B2z-6
factor out common terms
z%5E2%28z-3%29%2B2%28z-3%29
factor out (z-3)
%28z-3%29%28z%5E2%2B2%29

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

To learn factoring polynomials using the  GROUPING  method and to see many other similar solved problems
(your  TEMPLATES)  look into the lesson

    - Solving polynomial equations of high degree by factoring

in this site.