Question

Write down the degree of each of the following polynomials(i.e. algebraic expression)

$3x^2-4x^3+5$

Answer 1

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

The given expression $3x^2-4x^3+5$ is a polynomial in variable $x$

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

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

The term $5$ has a degree $0$ ($\because$$5$ is constant)

Since the highest power of the variable $xis3$

Hence, the degree of the polynomial is $3$.