A rectangle has length x + 5 and width x - 7.
Write a polynomial expression, in standard form, that represents the area of the rectangle in terms of x.
The area of a rectangle is given by the formula A = length x width. Using the given values, we can express the area as:
A = (x + 5)(x - 7)
To simplify this expression, we can use FOIL (First, Outer, Inner, Last) method to expand the product:
A = x² - 7x + 5x - 35
Simplifying the like terms, we get:
A = x² - 2x - 35
Hence, the polynomial expression that represents the area of the rectangle in terms of x is x² - 2x - 35.