Question

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

a.) (4r + 5s)(3r - 2s)
b.) (2r + 5s)(6r - 2s)
c.) (3r - 2s)(4r + 5s)
d) (4r - 5s)(3r + 2s)

Answer 1

To factor the trinomial 12r^2 + 7rs - 10s, we need to find two numbers that multiply to give the constant term (-10) and add up to give the coefficient of the middle term (7). These numbers are 10 and -1.

Step-by-step explanation:

To factor the trinomial 12r^2 + 7rs - 10s, we need to find two numbers that multiply to give the constant term (-10) and add up to give the coefficient of the middle term (7). These numbers are 10 and -1.

Therefore, we can rewrite the trinomial as (3r + 10s)(4r - s).

So the correct answer is option a.) (4r + 5s)(3r - 2s).