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

Solution:

A factor of a polynomial is the number or an expression which is the divisor of the given polynomial. In other words, when we divide a polynomial with its factor, the remainder is 0.

Given expression: 2xy + 6x - 3y - 9

To factorize this expression, let's subdivide the 4 terms of the expression into two each.

Therefore, we can write the same expression as: 

= (2xy + 6x) - (3y + 9)

= 2x(y + 3) - 3(y + 3)

= (2x - 3)(y + 3)

Thus, the factors of 2xy + 6x - 3y - 9 are (y + 3) and (2x - 3).

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

Summary:

The factors of 2xy + 6x - 3y - 9 are (y + 3) and (2x - 3).