Factor the trinomial.

Question

v2−4v−60

Answer 1

To factor the trinomial v^2 - 4v - 60, we need to find two numbers that multiply to give -60 and add up to -4.

The factors of -60 are: -1 and 60, -2 and 30, -3 and 20, -4 and 15, -5 and 12, -6 and 10.

Among these factors, the pair that adds up to -4 is -10 and 6.

So, we can rewrite the trinomial as:
v^2 - 10v + 6v - 60

Now we can group the terms:
(v^2 - 10v) + (6v - 60)

Factor out the greatest common factor from each group:
v(v - 10) + 6(v - 10)

Now we can factor the common binomial:
(v + 6)(v - 10)

Therefore, the trinomial v^2 - 4v - 60 can be factored as (v + 6)(v - 10).