Step-by-step explanation:
Use the systematic new AC Method to factor trinomials (Socratic Search)
y
=3x2+7x−6
=3(x + p)(x + q)
Converted trinomial:
y'
=x^2+7x−18
= (x + p')(x + q').
p' and q' have opposite signs.
Factor pairs of (ac = -18) --> (-2, 9). This sum is 7 = b. Then p' = -2 and q' = 9. Therefore,
p ='p/a
= -2/3
and
q ='q/a
=9/3
=3.
Factored form: y = 3(x - 2/3)(x + 3) = (3x - 2)(x + 3)
