Answer:
([tex]6x^{2} - 5[/tex])([tex]x^{2} +2[/tex])
Step-by-step explanation:
Always arrange in descending powers first. In this case that is already done.
Try grouping the first two terms and the last two terms first
[tex](6x^{4} - 5x^{2} ) + (12x^{2} - 10)[/tex] Factor out the GCF of both groups
[tex]x^{2} (6x^{2} - 5) + 2(6x^{2} - 5)\\[/tex] Note that [tex]6x^{2} - 5[/tex] is a factor in each group. That's
good
Now treat [tex]6x^{2} - 5[/tex] as a GCF and you get
([tex]6x^{2} - 5[/tex])([tex]x^{2} +2[/tex])
Since [tex]6x^{2} - 5[/tex] and [tex]x^{2} +2[/tex] are both prime, we are finished.
You can check to see if you are correct by FOILing the answer you got. OK?
