## zhengcl86 2 years ago need help solving some basic algebra question to the 3rd power!!

1. gianarpt

what questions

2. zhengcl86

\[8x ^{3} - 4x ^{2 } - 12x =0\]

3. zhengcl86

how would i break that down?

4. precal

factor out the GCF

5. precal

I would factor out 4x

6. JohnnyRocketfingers

your trying to factor the polynomial

7. precal

|dw:1358903207710:dw|

8. precal

|dw:1358903232815:dw|

9. precal

|dw:1358903299195:dw|

10. precal

if you look at your graph, these locations are where the graph crosses the x axis

11. precal

always try to factor equations back into linear or quadratics if that does not work then you have to use synthetic division

12. precal

hope that helps you

13. JohnnyRocketfingers

nice, it helped me.

14. zhengcl86

wow a bit confusing lol but something is clicking in my brain

15. precal

well remember you are only taught to factor 2nd powers. I factored out 4x because that created the 2nd power

16. zhengcl86

so its factored out then simplfied down?

17. precal

once you factor it, then we have a theorem that states we can set them to zero and solve each one

18. zhengcl86

when the 4x is factored out the 8x 3rd power becomes 2x 2nd power?

19. zhengcl86

was that divided by the 4x? and expondents substracted?

20. precal

not I factored it out|dw:1358903718312:dw|check yourself by distributing it back in