Chapter 7.5, Problem 39IP

To determine

Find the factor of the expression $4x-8$ and find the possible dimensions of the rectangle.

Answer to Problem 39IP

  $50x-300=50(x-6)$

Explanation of Solution

Given:

The area of rectangle is $4x-8$ square units. Factor $4x-8$ to find possible dimensions of the rectangle

Concept Used:

To find the factor of the expression:

Step 1: find the GCF of the expression and take out the GCF from each term of the expression and write in factor form.

Example: The expression $ab+ac$ , $a$ is the GCF of the expression. Take out the GCF and write in factor form: $ab+ac=a·b+a·c=a(b+c)$

Calculation:

Find the factor of the expression: $4x-8$

  $\begin{array}{l}4x-8=2·2·x-2·2·2=4(x-2)[\text{GCF}=4]\\ 4x-8=4(x-2)\end{array}$

Possible dimensions of the basketball court is 4 units and (x − 2) units.

Thus, $4x-8=4(x-2)$