Question

How do you factor `21m^2 - 57m + 30`?

Answer 1

Factor: `y = 21m^2 - 57m + 30`

Explanation:

`y = 3(7m^2 - 19m + 10)`

To factor the trinomial in parentheses, i use the new AC Method (Google, Yahoo Search)
Converted trinomial: `m^2 - 19m + 70.` Roots have same sign. Compose factor pairs of a.c = 70 -> (2, 35)(5, 14). This sum is 19 = -b.
Then, p' = -5 and q' = -14. Next,`p = -5/7` and `q = -14/7 = -2.`

Factored form: `y = 3(7m - 5)(m - 2)`