factor as much as possible
((6x)^(3))+(5x^(2))-(6x)

Question

factor as much as possible 
((6x)^(3))+(5x^(2))-(6x)

directrix · Answer

((6x)^(3))+(5x^(2))-(6x)
-------
Get the terms in descending order of the variable.

6x³  + 5 x²  - 6x

Factor out the common factor:

x( 6x² + 5x - 6 )

directrix · Answer

The next question is does this factor.

( 6x² + 5x - 6 )

What are two numbers that multiply to -36 AND add to 5?

anonymous · Answer

9 and -4

anonymous · Answer

I have workings done, is the final answer $$x(3x-2)(2x+3)$$?

directrix · Answer

I multiplied that out and got the original problem back so your answer is correct.

anonymous · Answer

thanks, can you help with another one?
$$x^3-6x^2-x+30$$

directrix · Answer

It looks like a factoring by grouping problem. Let's see.

The groupings I am trying are not producing a common factor.

I think (x - 5) is one of the three factors.

Let's try to find the other two.

anonymous · Answer

the (x-5) is the one I cant find myself. I found the other 2.

anonymous · Answer

the answer is (x-2)(x+3)(x+5)

directrix · Answer

Well, then divide (x-5) into (x^3 - 6x^2 -x + 30) to get (x^2 - x - 6). Then, factor that.

anonymous · Answer

(x+2)(x-3)(x-5) ****

anonymous · Answer

got it!! thanks!

directrix · Answer

Those are the factors I got. I'm still trying to figure out the grouping. If I do, I'll post it here for you.