Question

How do you factor the trinomial `6y^2-11y-10`?

Answer 1

`y = (3y + 2)(2y-5)`
BTW this is not a Trinomial it is Binomial (Bi-two, Tri-three)

Explanation:

You have several option the first is by trial and error:
Write: `y=a_2y^2+ a_1y+a_0`
1) Find possible factors for `a_2=6 =>6 ->(2,3)`
2) Find possible factors for `a_0=-10 =>10 ->(2,-5) or (-2,5)`
3) Now look at the magnitude and sign of `a_1=-11` what can you add to get `=>-11 -> ((2,3))((2),(-5))=> (2xx2) +(-5xx3)`
from this we have:
`y = (3y+2)(2y-5)`