Which of the following is a factor of 2xy + 8y - 8x - 32?
5
x + 4
x² - 4x + 16
All of the above

Solution:

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.

Given, the equation is 2xy + 8y - 8x - 32

We have to find the factor of the equation.

Taking 2 as common

= 2(xy + 4y - 4x - 16)

So by grouping we get

= 2 (x + 4) (y - 4)

Therefore, x + 4 is a factor of the equation.

Which of the following is a factor of 2xy + 8y - 8x - 32?

Summary:

x + 4 is a factor of 2xy + 8y - 8x - 32.