Question

Alicia is programming computerized robotic arms to cut burlap for the 4th of July placemats. The placemats are to be rectangular in shape with an area represented by 45x - 71x - 150. The width of each placemat is represented by 5x + 6. Which expression can Alicia use in the programming to represent the length of each placemat?

Answer 1

To find the length of each placemat, divide the area of the placemat by its width using polynomial division.

Step-by-step explanation:

To find the length of each placemat, we need to divide the area of the placemat by its width. The area is represented by the expression 45x - 71x - 150, and the width is represented by the expression 5x + 6.

To divide the area by the width, we need to perform polynomial division. Using long division, we divide the area by the width to find the quotient, which represents the length of each placemat.

Example:

45x - 71x - 150

──────────────────────

5x + 6

By performing the polynomial division, we find the quotient, which represents the length of each placemat.