Question

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

Answer 1

Your answer would be the last option, (6x² - 5)(x² + 2).
This is because when you expand it, you get:
6x² × x² = 6x⁴
6x² × 2 = 12x²
-5 × x² = -5x²
-5 × 2 = -10
Which are all the correct terms.

I hope this helps!

Answer 2

1. Factor out common terms in the first two terms, then in the last two terms
x^2(6x^2-5)+2(6x^2-5)

2. Facto out the common term 6x^2-5
(6x^2-5)(x^2+2)

Have a nice day :D