#1**+2 **

Factor the following:

-16 x^4 + x^2 + 2 x + 1

Factor -1 out of -16 x^4 + x^2 + 2 x + 1:

-(16 x^4 - x^2 - 2 x - 1)

The factors of 1 - 16 x^4 that sum to -2 are x (-4 x^2 - 1) and x (4 x^2 - 1).

So, (16 x^4 - 1) - x^2 - 2 x = -x^2 + x (-4 x^2 - 1) + x (4 x^2 - 1) + (4 x^2 - 1) (4 x^2 + 1):

-(-x^2 + x (-4 x^2 - 1) + x (4 x^2 - 1) + (4 x^2 - 1) (4 x^2 + 1))

-x^2 + x (-4 x^2 - 1) + x (4 x^2 - 1) + (4 x^2 - 1) (4 x^2 + 1) = x ((4 x^2 - 1) - x) + (4 x^2 + 1) ((4 x^2 - 1) - x):

-x (4 x^2 - x - 1) + (4 x^2 + 1) (4 x^2 - x - 1)

Factor 4 x^2 - x - 1 out of x (4 x^2 - x - 1) + (4 x^2 + 1) (4 x^2 - x - 1), resulting in (4 x^2 - x - 1) ((4 x^2 + 1) + x):

**-(4 x^2 - x - 1) (4 x^2 + x + 1)**

Guest Dec 29, 2018

#3**-1 **

If you apply the negative sign to the parentheses, -4x^2 is less than 4x^2, right?

So a

CoolStuffYT
Dec 29, 2018