Factories the following expression. 3x^2 +2x?

Question

Please help and explain how you do the process, I have zero understanding of this.

Update:

How do I also do 5x^2+x

Explain the steps please

Update 2:

Yet another update...sorry. x^3+2x^2+5x

Explain all the steps

Answer 1

One easy way to factorise it is to pull out the x.

x(3x+2)

To do 5x^2+x is the same - there's no steps just pull out the x.

x(5x + 1)

Again with x^3+2x^2+5x

just pull out the x.

x(x^2+2x + 5)

If this isn't obvious watch these videos.

https://www.khanacademy.org/math/algebra-basics/co...

Answer 2

The first step in factoring expressions is to look for common factors. In this case, x is your only common factor. Pull it out of both terms and you get:

x(3x + 2)

and that's as factored as you can get.

Recall when you learned about the distribution property, where you have something in the form of:

a(x + y)

so you multiply a by both terms x and y to get:

ax + ay

factoring is the reversing of this property. Now "a" is a common factor, so pulling it out of both terms:

a(x + y)

and we're back to where we are started.

Hope this helps.

Answer 3

3x^2 + 2x

= x(3x + 2)