# How do you factor the trinomial #6x^2 +8x+ 2#?

##### 1 Answer

Jun 19, 2016

You can factor

#### Explanation:

To factor a trinomial, you simply have to look for its roots. There are three possible cases:

- The trinomial has no solutions. Then, it is not possible to factor it.
- The trinomial has only one solution
#x_0# . Then, it is a square of a binomial, more precisely, it is#a(x-x_0)^2# . - The trinomial has two different solutions
#x_1# and#x_2# . Then, you can factor is as the product of two binomials, i.e.#a(x-x_1)(x-x_2)# .

The quantity that tells us how many solutions a trinomial has is its discriminant: if the trinomial is

If

In your case,

Your trinomial has two solutions, which are given by the formula

The two possible choices given by the