Question

Classify the following as a constant, linear, quadratic and cubic polynomials:

1 + x + x²

Answer 1

Constant polynomials: The polynomial of the degree zero.

Linear polynomials: The polynomial of degree one.

Quadratic polynomials: The polynomial of degree two.

Cubic polynomials: The polynomial of degree three.

Powers of x = 1 and 2, respectively.

The highest power of the variable x in the given expression = 2

Hence, the degree of the polynomial = 2

Since it is a polynomial of degree 2, it is a quadratic polynomial.