Which expression is a factor of 3xy + 2x - 18y - 12?

Solution:

'Factor' is a term used to express a number as a product of any two numbers.

Factorization is a method of finding factors for any mathematical object, be it a number, a polynomial or any algebraic expression.

Thus, factorization of an algebraic expression refers to finding out the factors of the given algebraic expression.

Simplifying the equation:

3xy + 2x - 18y - 12 we get

= x(3y + 2) - 6(3y + 2)

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

The factors for the equation are (3y + 2) and (x - 6).

Which expression is a factor of 3xy + 2x - 18y - 12?

Summary:

The expressions which are the factors of 3xy + 2x - 18y - 12 are (3y + 2) and (x - 6).