Define degree of a polynomial.

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The degree of a polynomial is the highest power of the variable in the polynomial

The degree of a polynomial is the smallest power of the variable in the polynomial

The degree of a polynomial is the highest power of the constant in the polynomial

The degree of a polynomial is the smallest power of the constant in the polynomial

answer is A.

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Detailed Solution

Given to define degree of a polynomial.
Let

f (x) = a n x n + a n − 1 x n − 1 + … + a 1 x + a 0

be a polynomial .
Here, the coefficients are

a n, a n − 1, …, a 1, a 0

of variable x and the different powers of variable x are

x n, x n − 1, …, x

, raised to the power

n ≥ 0

.
The highest power of x in a polynomial is referred to as the polynomial's degree.
Thus, the polynomial

f (x) = a n x n + a n − 1 x n − 1 + … … .. + a 1 x + a 0

has degree n.
The degree of a polynomial is the highest power of the variable in the polynomial.
Hence the correct option is 1.

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