algebra 2 help?

Question

3x^2 - 4x -2 > 2x^2 - 5x + 10

A for no x
B x <-3 or x > 4
C -4 < x < 3
D x < -4 or x > 3
E -4 < x < 4
F for all x

Answer 1

3x^2 - 2x^2 - 4x + 5x -2 - 10 > 0
x^2 + x - 12 > 0
(x - 3)(x + 4) > 0

This function has zeros at x = 3 and x = -4
It's an even function (squared) that faces upward (the first term is positive). So between -4 and 3 it is below the x-axis, and when < -4 or > 3, it's above the x-axis.

D

Answer 2

D