Question

Write down the degree of each of the following polynomials(i.e. algebraic expression)
$3x^4-2x^3+4x$

Answer 1

The degree of an expression is the greatest power of the variable in any term of the polynomial.

The given expression $3x^4-2x^3+4x$ is a polynomial in the variable $x$

The term $3x^4$ has a degree $4$

The term $2x^3$ has a degree $3$

The term $4x$ has a degree $1$

Since the highest power of the variable $x$ is $4$
so, the degree of the polynomial is $4$.