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

The correct factorization of this equation is (2y - 8)(x + 4).

In order to factor polynomials with 4 terms like this, you can often use a strategy called grouping. To do that, split into two different binomials.

(2xy + 8y) and (-8x - 32)

Now you can factor out the greatest common factor of each parenthesis.

2y(x + 4) and -8(x + 4)

Now in grouping, if after factoring out the greatest common factor, you can put the two things you pulled out in one parenthesis. You can multiply that by one of the matching set for the final answer.

(2y - 8)(x + 4)

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x