Posted by **Adriana** on Thursday, June 14, 2012 at 12:29pm.

15x^3-9x^2-6x

Can someone please show me how to factor completely.. trying to learn how to do factoring

- factor the trinomial by grouping -
**Steve**, Thursday, June 14, 2012 at 12:53pm
Usually factoring by grouping is useful when patterns jump out at you:

x^3 + 3x^2 - 6x - 18

you can see x(x^2-6) + 3(x^2-6)

In your problem, that's not likely, so grouping is not a useful method. Instead, factor out the 3x to get

3x(5x^2 - 3x - 2)

Now, if you want to use grouping, you have to play around a bit:

5x^2-3x-2 = 5x^2-5x + 2x-2

= 5x(x-1) + 2(x-1)

= (5x+2)(x-1)

Again, picking up on how to group is a skill learned through experience. Just buckle down and do a few hundred exercises, and you too will be proficient!

## Answer this Question

## Related Questions

- Algebra - I need help trying to put the correct vocabulary words when solving ...
- Algebra - I need help trying to put the correct vocabulary words when solving ...
- math,correction - can someone check these for me please.... problem#4 Directions...
- FACTORING - I can't figure out how to factor this. I know you use the technique ...
- factoring,math - can someone show me how to factor this: i keep getting -6 and 5...
- Math - Factor the polynomial X^3 + 7x^2 +15x + 9 I tried factoring by grouping. ...
- Algebra - What is factoring by grouping? When factoring a trinomial by grouping...
- algebra 1 - 3) for any factorable trinomial x^2+bx+c, will the absolute value of...
- factoring - how to factor x^4 - 2x^3 - 8x + 16 Thanks. you can factor by ...
- math - I need help with these two problems please. Completely factor the ...