Question

Factor the trinomial (if possible). Show all your work.
12r^2+7rs−10s

Answer 1

To factor the trinomial 12r^2 + 7rs - 10s, we can rewrite it as (12r^2 - 5s)(2s + 1).

Step-by-step explanation:

To factor the trinomial 12r^2 + 7rs - 10s, we need to find two binomials whose product is equal to the trinomial. We can start by looking for factors of the constant term (-10s) that add up to the coefficient of the middle term (7rs). In this case, the factors that satisfy this condition are -5s and 2s.

So, we can rewrite the trinomial as (12r^2 - 5s)(2s + 1). This is the factored form of the trinomial.