Question

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)

Answer 1

Group as (6x^4 − 5x^2) + (12x^2 − 10).
Factor each: x^2(6x^2 − 5) + 2(6x^2 − 5) = (6x^2 − 5)(x^2 + 2).

So the correct choice is (6x^2 − 5)(x^2 + 2).