11x4+35x2+6 I want to use the method where you multiply the first and last to factor. Any help?

Question

11x4+35x2+6   I want to use the method where you multiply the first and last to factor. Any help?

superhelp101 · Answer

@dumbcow can you help me?

superhelp101 · Answer

@tkhunny

dumbcow · Answer

ok 

11*6 = 66

33+2 = 35
33*2 = 66

(11x^4 +33x^2) +(2x^2 + 6)
11x^2 (x^2 +3) + 2(x^2 +3)
(x^2 +3)(11x^2 +2)

superhelp101 · Answer

ok thank you!

dumbcow · Answer

yw

tkhunny · Answer

One would ALWAYS multiply first and last - and every other combination.

superhelp101 · Answer

oh i see, thanks!

superhelp101 · Answer

@dumbcow  so I noticed that you used grouping. Would that always work?

tkhunny · Answer

"Grouping" is rarely beneficial and rarely has application in the real world.  Most of the time, "grouping" is accomplished by knowing beforehand where things need to be.  I do not recommend spending much time on it.  It does occasionally crop up as useful, but not very often.

superhelp101 · Answer

in these type of problems, like factoring. It is a bit easier for me on grouping, then using the wrong method. Do you mind showing me the wrong way on this problem. So i will get introduced. ;)