Question

Factor the trinomial completely.3x2 - 13x - 10

Answer 1

3x2 - 13x - 10

multiplying the first and third terms we have

-30x2

The factors of -30 that will be added to get - 13 are -15 and 2

so we split the expression further

= 3x2 - 15x + 2x - 10

= 3x (x - 5) + 2 (x - 5)

= (x -5)(3x + 2)