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

Given:

36x³ - 22x² - 144x

GCF:
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3  

22 ÷ 2 = 11

144 ÷ 2 = 72
  72 ÷ 2 = 36
  36 ÷ 2 = 18
  18 ÷ 2 =   9
    9 ÷ 3  =  3

2 is the GCF of all terms. We can add 24. It would not change the GCF of the polynomial.

36x³ - 22x² - 144x + 24

2(18x³ - 11x² - 72x + 12)

I’m not absolutely sure but i think it’s 7x6x5x4x3x2=5040 because as the first character you can take any of the 7 given then you are left with 5 then 6 then 4 etc.