# How do you factor #2x^2-5x+2#?

##### 3 Answers

#### Explanation:

Ok, we are just going to factor this one out!

Break it into groups

At this point we can factor out x and -2 respectively

Then factor out the common term

Hope this helped!

~Chandler Dowd

#### Explanation:

#"the factors of + 4 which sum to - 5 are - 4 and - 1"#

#"splitting the middle term"#

#2x^2-4x-x+2larrcolor(blue)"factor by grouping"#

#=color(red)(2x)(x-2)color(red)(-1)(x-2)#

#"take out "color(blue)"common factor "(x-2)#

#=(x-2)(color(red)(2x-1))#

#rArr2x^2-5x+2=(x-2)(2x-1)#

#### Explanation:

All the information is in the trinomial.

Find the factors of

The

- ADD the factors to get the middle number
- the sign in the brackets will be the SAME.

Note that

Now

As

SO know we know:

We also know the signs will be the SAME.

The sign of the middle term

Check by multiplying: