Is it possible to factor #y= 1/2x^2 + 3/2x -4 #? If so, what are the factors?
first consider y to be any number and its value not needed for the purpose of factoring
second multiply everything by 2
Now the x terms are in the standard
Since the C is -4 one binomial factor must be negative and the other binomial factor must be positive.
The B is +3 which means the positive binomial factor must be greater than the the negative binomial factor.
third used the information given by the B and C values to find the binomial factors.
The only factors of 4 are
The binomial factors then are