Question

factories x^2 +3x^2 +4

Answer 1

first remember that a= coefficent of x2 b= is the coefficient of your x term and c= is your non algebraic term.  

hence using your example a=1 b=3 and c=-4

In order to factorize this figure out which numbers can multiply to get the coefficient a. that would be 1x1=1

then say which 2 numbers can multiply to get c but also cross multiple with your a factors to give numbers that will add up to your b term.

the numbers that could do this is -1 and 4 because -1x4 =-4 but u can also say -1x1=-1 and 1x4=4 and add them up you get +3 which is your b term.  

then take your first factor of a and your first factor of c which would be 1 and -1 the first factor of a would become x so you now have (x-1)  

then take second factor of a and second factor of c and you have (x+4)  

remember your a factors become your Xs  

answer is therefore (x-1) (x+4)