Question

PLSSS HELPPPPP IM RLYYYYY CONFUSEDDDDDD

Answer 1

Top Left: -6

Top Right: -x

Bottom Left: 12x

Bottom Right: 2x^2

Trinomial: 2x^2 + 11x - 6

Explanation:

Hello! Let's help you with your question here!

So, box method. From your question, the process is pretty easy. It would require a bit more work when factoring a trinomial.

The equation in question is already factored which is very useful, now it's a matter of the values in the box. I am on the assumption that the two top boxes and the two left boxes are filled in for you and you just need to fill the middle (if that isn't the case, do let me know). To just fill the boxes in the middle, evaluate it like you would multiplying rows and columns. So, it would be as such:

6 x

-1 -6 -x

2x 12x 2x^2

In terms of simplifying, we use FOIL to expand it out into a trinomial and collect like terms. Therefore, it becomes:

`(x+6)(2x-1) = (x*2x)+(x*(-1))+(6*2x)+(6*(-1))`

`= 2x^2 + (-x) + (12x) + (-6)`

`=2x^2+11x-6`

Let me know if there are any questions and if it is wrong, do let me know!