Question

need help !
factor the trinomial by first factoring (-1) from each term

2+5x-12x^2

Answer 1

To factor the trinomial by negative 1 simply change the signs on each term. -1(-2 - 5x + 12x^2)

Answer 2

It is an understood -1*(-2...) if that was confusing

Answer 3

so icould switch to be 12x^2-5x-2 and then factor

Answer 4

i get the -1 part i dont get how to factor after that

Answer 5

Once we factor by the -1 we get -2-5x+12^2 and then we can order this in proper form which would be 12x^2 - 5x -2
Now that we have 12x^2-5x-2 we are in proper form which is ax + bx + c where a, b, and c are numbers

To factor this, we multiply a * b which is 12 times -2, which equals -24. Now we need to
find factors of -24 that equals -24 and has the sum of -5, which is our middle number
So what are factors of 24 and that has the sum of -5??

Factors of -24 that also gives us the sum of -5(which is our middle number) are -8 * 3

-8 times 3 = -24 and -8 plus 3 = -5 so now we know we know that -8 and 3 are numbers we can use for solving this by the grouping method.

Now we group
12x^2 - 5x -2

we take our two numbers -8 and 3 and replace the -5 with these two numbers like so

12x^2 +3x - 8x -2

Now we group and factor
(12x^2 +3x) (-8x-2)

(12x^2 +3x)/3x (-8x-2)/-2
3x(4x + 1) -2(4x + 1)
(3x-2)(4x+1)

We can check this by using the FOIL method, which is correct