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Q.

In which of the subsequent classification, does the polynomial $p (y) = y 3 − y$ belong?

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a

Constant polynomial

b

Linear polynomial

c

Quadratic polynomial

d

Cubic polynomial

answer is D.

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Detailed Solution

The given polynomial is,

p (y) = y 3 − y

The highest or greatest power of a variable in a polynomial function is referred to as the degree of the polynomial.
A polynomial is referred to as a constant polynomial if its degree is 0.
A polynomial is referred to as a linear polynomial if its degree is 1.
A polynomial is referred to as a quadratic polynomial if its degree is 2.
A polynomial is referred to as a cubic polynomial if its degree is 3.
In the polynomial

p (y) = y 3 − y,

degree is 3.
Therefore, it is a cubic polynomial.
Hence, option (4) is correct.

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