Question

3p^2+7p−6 factoring

Answer 1

This is a nice question.
multiply the coefficient of p^2 with -6 and you have -18.
find two numbers which sum up to +7 and produce -18: ans: +9 and -2
so factorization is (x-9)(x+2).
since you took that 3 from the coefficient, try to extract a three from one of the nonvariable terms and multiply it by the variable of the adjacent parentheses. Therefore, you have:
(x-(3x3))(x+2)=(x-3)(3x+2)
Voila! That's your factorization!