<image>Reading comprehension: Using the "cross multiplication method" to factorize $$2x^{2}-x-3$$.

$$(1)$$ Coefficient of the quadratic term is $$2=1×2$$. 
$$(2)$$ Constant term $$-3=-1×3=1×(-3)$$, with a check: "sum of cross products". 
 

$$1×3+2×(-1)=1$$____ 
$$1×(-1)+2×3=5$$____ 
$$1×(-3)+2×1=-1$$____ 
$$1×1+2×(-3)=-5$$ 

$$(3)$$ We find that the result of the third "sum of cross products" $$1×(-3)+2×1=-1$$ equals the coefficient of the linear term $$-1$$.

Thus: $$(x+1)(2x-3)=2x^{2}-3x+2x-3=2x^{2}-x-3$$, so $$2x^{2}-x-3=(x+1)(2x-3)$$.

In this way, using the help of cross lines to factorize a quadratic trinomial, is called the cross multiplication method.

According to the above method, factorize: $$3x^{2}+5x-12=$$ ______ .