Question

x(2x +1) + 13 (2x+1)
how do you do this?

Answer 1

It depends on what you are trying to do, multiplying or factoring?

Answer 2

factoring trinomials.

Answer 3

help

Answer 4

You have a common factor of (2x + 1). All you need to do is factor it out.

(2x + 1)(x + 13)

Answer 5

what does it mean to factor it out?

Answer 6

Here is an example that is easier to see:

2x + 2y

Both terms have a factor of 2, so the 2 can be factored out:

2(x + y)

Answer 7

Factoring out usually means doing the distributive property in reverse. It means to undo the distributive property.

Answer 8

but in x(2x +1) + 13 (2x+1) it looks like u have to distribute

Answer 9

You'd distribute if you were asked to multiply it out. You told me you were asked to factor, so you factor instead.

Answer 10

exactly so if you factor u divide?

Answer 11

Kind of. Factoring is undoing a multiplication, so it's a bit of division and a bit of distributive property in reverse.