Pages

Identify whether the following expressions are quadratic or not, and state why or why not they are quadratic:

x^2 + 2x^3 + 3

This expression is not quadratic because it contains a term with exponent greater than 2 on the variable x.

x + 2

This expression is not quadratic because it does not contain a term with exponent '2' on the variable.

x^2 + 2x + 1

1. the greatest exponent on x is 2
2. x does not have negative exponents or exponents greater than 2
xy + x^2 + y^2
The above expression is quadratic because its degree is 2. In other words, it is quadratic because the sum of exponents of x and y in any single term is never greater than 2.
x^2y + xy + 1
This expression is not quadratic because the sum of exponents of x and y in the first term is 3.