# Is it possible to factor #y=3x^2+11x-4 #? If so, what are the factors?

##### 2 Answers

#### Explanation:

Use the AC method.

Multiply

Find two numbers that when added equal

Rewrite the equation substituting

Group the terms into two groups of two terms.

Factor out

Factor out

#### Explanation:

3 is prime so we can only have 1 and 3 as factors giving:

There are two sets of factors of 4 and they are: { 2,2} and {1,4}

Lets try the {1,4} combination and see what we get!

By the way, the constant of 4 in your question is negative so the

We see that

Ok! Lets try something else. The 11 is the correct magnitude but the wrong sign. Lets try reversing the signs:

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So

Or if you like you can change the order of the brackets to.

in that they can commute/travel without changing the intrinsic value