Which expression is a factor of 3ab - 6a + 4b - 8?
4b - 2, 3a + 4, 3b - 4b, 3ab - 2

Solution:

Factorization of algebraic means finding the factors of the given expression which refers to finding two or more expressions whose product is the given expression.

This process of finding two or more expressions whose product is the given expression is known as the factorization of algebraic expressions. 

3ab - 6a + 4b - 8 can be factorised as follows:

3a(b - 2) + 4(b - 2)

(b - 2)(3a + 4)

The two factors of 3ab - 6a + 4b - 8 are :

(b - 2) and (3a + 4)

Hence, (3a + 4) is a factor of 3ab - 6a + 4b - 8

Which expression is a factor of 3ab - 6a + 4b - 8?

Summary:

The expression(s) which is/are factor(s) of 3ab - 6a + 4b - 8 are (b - 2) and (3a + 4), hence, (3a + 4) is a factor of 3ab - 6a + 4b - 8