Which statement best explains why the method of finding two integers that multiply to $c$ and add to $b$ fails for: $2x^2+5x+3$?

Because the leading coefficient is 2 (not 1), the simple "$m+n=b$ and $m\cdot n=c$" integer-pair method for: $x^2+bx+c$ does not directly apply; one must use factoring by grouping or the AC method instead

Because the constant term 3 is small, the method fails due to insufficient factor pairs to test

Because 5 is prime, no integer pair exists for this polynomial and the method always fails when the middle coefficient is prime

Because the polynomial has a positive discriminant, the method fails and a numerical root-finding technique must be used