Final answer:
To factor t³ - 5t² - 10 - 2t using the grouping method, first group the terms together and then factor out the greatest common factor from each group.
Step-by-step explanation:
To factor the expression t³ - 5t² - 10 - 2t using the grouping method, we first group the terms together.
t³ - 5t² - 10 - 2t can be rewritten as (t³ - 5t²) - (10 + 2t).
Next, we factor out the greatest common factor from each group. In the first group, the greatest common factor is t² and in the second group, the greatest common factor is 2.
Thus, t³ - 5t² - 10 - 2t can be factored as t²(t - 5) - 2(t + 5).