Question

factor $6x^4 - 5x^2 + 12x^2 - 10$ by grouping. what is the resulting expression?
○ $(6x + 5)(x^2 - 2)$
○ $(6x - 5)(x^2 + 2)$
○ $(6x^2 + 5)(x^2 - 2)$
○ $(6x^2 - 5)(x^2 + 2)$

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(6x^4 - 5x^2)+(12x^2 - 10)$

Step2: Factor out GCF from each group

From the first group, factor out $x^2$: $x^2(6x^2 - 5)$
From the second group, factor out 2: $2(6x^2 - 5)$

Step3: Factor out the common binomial

Now, factor out $(6x^2 - 5)$ from both terms: $(6x^2 - 5)(x^2 + 2)$

Answer:

D. $(6x^2 - 5)(x^2 + 2)$