# How do you factor the expression #25x^2 - 35x - 30#?

##### 1 Answer

#### Answer:

#### Explanation:

First, we can easily see that each term has a factor of

Now we just need to factor

We could use the quadratic formula to find the roots of the expression, however let's see if we can find an integer solution without resorting to that.

We are looking for integers

From the first equation, we know that

From the third equation, we know that

Testing out which set of pairs fulfills the second equation lets us find a solution

Then substituting those back in gives us

But we mustn't forget the original