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 terms in pairs

$(6x^4 - 5x^2) + (12x^2 - 10)$

Step2: Factor out GCF from each pair

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

Step3: Factor out common binomial

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

Answer:

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