Question

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

y³ – y

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 y = 3 and 1, respectively.

The highest power of the variable x in the given expression = 3

Hence, the degree of the polynomial = 3

Since it is a polynomial of degree 3, it is a cubic polynomial.