Marya wants to factor the polynomial 36x3 – 22x2 – 144x. which term can she add to the polynomial that would not change its greatest common factor? check all that apply.
–11
–50xy
–40x2
24
10y

The polynomial expression is P(x)=36x3 – 22x2 – 144x, it can be written P(x)=36x².x – 22x.x – 144.x, each term is factor of x. We can affirm that x is the greater factor, because P(x) is can be expressed as P(x)= x (36x² – 22x – 144). So if we add this last by –50xy, the common factor doesn’t change. That is P(x)- 50x.y= x (36x² – 22x – 144)–50 xy = x.(36x² – 22x – 144 - 50 y). the true answe is B –50xy.