Question

Factor completely
-2x^4 + 14x^2 - 24

Answer 1

`-2[x^2 - 3][x - 2][x + 2]`

Explanation:

`(-2x^4 + 8x^2) + (6x^2 - 24) \\ -2x^2(x^2 - 4) \: \: \: \: 6(x^2 - 4) \\ \\ (-2x^2 + 6)(x^2 - 4) \\ \\ -2(x^2 - 3)(x - 2)(x + 2)`

For this exercise, you have to use the Difference of Squares
`[a^2 - b^2 = [a - b][a + b]]`.

I am joyous to assist you anytime.