Which expression is a factor of 2xy + 6x – 3y – 9?
2x – 3
2y + 3
x – 2
y – 3

Question

Which expression is a factor of 2xy + 6x – 3y – 9?
                2x – 3
		2y + 3
		x – 2
		y – 3

amistre64 · Answer

if we divide and get a remainder of zero , then its a factor

amistre64 · Answer

6 + 2y + y/x
      -----------------
x-2 ) 6x + 2xy – 3y  – 9
        (6x - 12)
        --------------
                 2xy - 3y - 9 + 12
                (2xy -4y)
               -----------------
                          y + 3
                        (y - 2y/x)
                       ------------
                         im gonna assume this aint a factor :)

amistre64 · Answer

http://www.wolframalpha.com/input/?i=factor++2xy+%2B+6x+%E2%80%93+3y+%E2%80%93+9 the wolf says 2x-3, so lets see if my hunch pans out ....

amistre64 · Answer

3  +  y
        -----------------
2x-3 ) 6x + 2xy – 3y  – 9
          (6x                   -9)
        ------------------
                   2xy - 3y
                  (2xy - 3y)
                  ---------
                         0  it works!!  yay  :)