Write down the degree of each of the following polynomials(i.e. algebraic expression)
$x^{3} - x + 1$

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Solution

The degree of an expression is the greatest power of the variable in any term of the polynomial.
The given expression $x^{3} - x + 1$ is a polynomial in the variable $x$
The term $x^{3}$ has a degree $3$
The term $x$ has a degree $1$
The term $1$ has a degree $0$ ( $∵$ $1$ is constant)
Since the highest power of the variable $x$ is $3$
Hence, the degree of the polynomial is $3$ .

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