Question

Identify an expression for the height of a rectangle whose area is represented by 3x³ - x² - 6x - 8, and whose base is represented by x - 2.

a) 3x² + 5x + 4
b) 6x² + 10x + 8
c) 3x² + 4x + 5
d) 6x² + 8x + 10

Answer 1

The expression for the height of the rectangle is 3x² + 5x + 4.

Step-by-step explanation:

The expression for the height of a rectangle can be found by dividing the area by the base. In this case, the area is represented by 3x³ - x² - 6x - 8 and the base is represented by x - 2. Therefore, the expression for the height is (3x³ - x² - 6x - 8) / (x - 2). Using polynomial division, we can simplify this expression to be 3x² + 5x + 4.