Question

The degree of 3 is
A.0
B.1
C.2
D.3

Answer 1

Hint: Here we have to find the degree of the given polynomial. The given polynomial is a constant polynomial as it doesn’t contain any variable. Here we will determine the degree of the given constant polynomial using the definition and property of degree of polynomial.

Complete step by step solution:
Here we need to find the degree of 3.
We know that the degree of a polynomial is defined as the greatest or highest power of the variable in a polynomial expression.
We can write 3 as \[3{x^0}\] ,
Therefore, the polynomial is
\[p\left( x \right) = 3{x^0}\]
The value of \[{x^0}\] is one here.
We can see that the given polynomial is a constant polynomial. The power of variables is zero here. The highest power of variable \[x\] is zero. Therefore, the degree of the constant polynomial 3 is zero.
Hence, the correct option is option A.

Note: Here we have determined the degree of the given polynomial. A polynomial is defined as the algebraic expression that consists of variables, coefficients and constants A polynomial can have any number of terms but the terms of a polynomial can’t be infinite.
We can make a mistake by considering 1 as the degree of 3 as no variable is mentioned here. We need to keep in mind that the degree of polynomial is the highest power of the variable present and not the highest power of coefficients.