# How do you factor #7x^2 – 35x + 28#?

##### 3 Answers

Jul 27, 2018

#### Explanation:

First, take out the common factor which is

Using quadratic formula,

Jul 27, 2018

#### Explanation:

#"take out a "color(blue)"common factor "7#

#=7(x^2-5x+4)#

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

#"are "-1" and "-4#

#=7(x-1)(x-4)#

Jul 28, 2018

#### Explanation:

Since all terms are divisible by

What we have in parenthesis can be factored with a little thought experiment:

What two numbers sum up to

After some trial and error, we arrive at

Hope this helps!