# How do you factor #5x^2-17x+14#?

##### 2 Answers

#### Explanation:

First you would find the zeros

You would apply the quadratic formula:

Then you would factor the given polynomial by applyng the relation:

So you get:

You can use an AC method to find:

#5x^2-17x+14 = (5x-7)(x-2)#

#### Explanation:

This quadratic can be factored using an AC method:

Find a pair of factors of

The pair

Use this pair to split the middle term and factor by grouping:

#5x^2-17x+14 = 5x^2-10x-7x+14#

#color(white)(5x^2-17x+14) = (5x^2-10x)-(7x-14)#

#color(white)(5x^2-17x+14) = 5x(x-2)-7(x-2)#

#color(white)(5x^2-17x+14) = (5x-7)(x-2)#