A rectangle has length - x + 8 and width 5x^2 + 1. Write a polynomial expression that represents the perimeter of the rectangle

Perimeter = 10x² - 2x + 18.

Step-by-step explanation:

Perimeter of a rectangle is the sum of all the sides and can also be expressed as the formula: P = 2W + 2L, where P=perimeter, W = width and L=length. If a rectangle has a length (-x + 8) and a width of (5x² + 1), we can set up the following equation:

P = 2 (5x² + 1) + 2 (-x + 8)

Distribute: 10x² + 2 - 2x + 16

Combine like terms: 10x² - 2x + 18