#1**+10 **

When typing, use this notation for power "^2"

So we have:

(2x + 1)(3x^2 - 2x - 5)

Let's use the box method of multiplication for explanation:

3x^2 -2x -5

2x | 6x^3 | -4x^2 | -10x

1 | 3x^2 | -2x | -5

Since we've multiplied all of the terms using a box, now we can add them all together:

6x^3 + 3x^2 - 4x^2 -2x - 10x - 5

After combining like terms, we have: 6x^3 - x^2 -12x -5

Mathematician
Feb 11, 2015

#1**+10 **

Best Answer

When typing, use this notation for power "^2"

So we have:

(2x + 1)(3x^2 - 2x - 5)

Let's use the box method of multiplication for explanation:

3x^2 -2x -5

2x | 6x^3 | -4x^2 | -10x

1 | 3x^2 | -2x | -5

Since we've multiplied all of the terms using a box, now we can add them all together:

6x^3 + 3x^2 - 4x^2 -2x - 10x - 5

After combining like terms, we have: 6x^3 - x^2 -12x -5

Mathematician
Feb 11, 2015

#3**+3 **

Yep, it's the first method my school taught me (just recently), but using distribution is less time consuming.

Mathematician
Feb 11, 2015

#4**+3 **

I dunno'...this method seems pretty "clean'.....you can follow the "diagonal" pattern to combine like terms......!!!

CPhill
Feb 11, 2015

#5**+3 **

It is definitely very accurate because of its display; however by "going down the line" in distribution, one can combine like terms in the same way.

It is a good method for teaching, but in practice, I use distribution.

Mathematician
Feb 11, 2015

#9**0 **

I guess it's sort of a number sense mentality to want to problems faster rather than with accuracy and ease...

Academic U.I.L. is fine ingrained within my mind now.

Mathematician
Feb 11, 2015

#11**0 **

I can't call you BJ....that one is "reserved" for BrittanyJ.....!!!!

I might use HBJ.....how does that sound???

CPhill
Feb 11, 2015

#13**+3 **

ummm hello???? CPhill??? (ill let u think about this "BJ-nickname" situation.. lol

BrittanyJ
Feb 11, 2015

#14**+3 **## MatheMatician = M & M !!!!

Hey, Mathematician..you should feel honored..BJ just gave you your "forum name'...that OFFICIALLY accepts you into the "pack' !!!

CPhill
Feb 11, 2015

#16**0 **

That was nice... I think I'll accept that name (or that name will be accepted upon me for me.)

Mathematician
Feb 11, 2015