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Question
Classify the following as a constant, linear, quadratic and cubic polynomials:
y3 – y
Solution
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.
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