Question

A certain rectangle has length 2x + 1 and width x + 1, find an expression for its area. You

answer should be in the form of a quadratic expression. Why do you think it's called this?

Answer 1

2x² + 12x + 10

Explanation:

Area of a rectangle = width x length

Therefore,

Area = (x + 1)(2x + 10)

Expand the brackets: 2x² + 10x + 2x + 10

Combine like terms: 2x² + 12x + 10

A quadratic expression is an expression with the variable with the highest power of 2