Question

Factor the trinomial completely. 11x+13x^2-2

Answer 1

Rewrite the trinomial in descending power of x:
13x^2 + 11x - 2
1. Try to factor a common factor from all terms.
There isn't one, so continue
2. Write two sets of parentheses
( )( )

Answer 2

On the left sides, write the factorization of 13x^2. Since 13 is prime, it factors as 13 and 1, so 13x and x
(13x )(x )

Answer 3

oh ok got it

Answer 4

thank you @mathstudent55

Answer 5

Now you need to factor -2. It can be -1 and 2 or -2 and 1. These numbers will be placed in the right sides fo the parentheses:
There are several choices:
(13x -1)(x +2)
(13x +2)(x -1)
(13x -2)(x +1)
(13x +1)(x -2)
The way to choose the correct choice is to take all four products above and do the OI of FOIL. The one that produces the the correct middle term is the right one.
Let's take the first one as an example:
(13x)(2) + (-1)(x) = 26x - x = 25 x This is not 11x that you need, so move on to the second choice.