Question

Simplify completely: (attatchment)

−4x2 − 3x + 2

−4x2 + 3x + 2

4x4 + 3x3 − 2x2

4x2 + 6x2 − 4x

Answer 1

factor out a 2 and an x from the numerator

2x( 4x^2 -3x -2)

Answer 2

now the 2x factored out will cancel with the 2x in the denominator leaving only a negative 1, which just negates every term

[2x(4x^2 -3x -2)]/(-2x) = -4x^2 +3x +2

Answer 3

but it is more convenient to have a + leading term, so i revert back to
-(4x^2 -3x -2)
and i identify this as a quadratic, I ask myself, what two numbers multiply to get -2 ( as this is the constant term), 1 and 2 must be the roots, but since the product must be -2, one must be positive, and the other negative