Question

Write down the degree of each of the following polynomials(i.e. algebraic expression)
$10x^2+3x+7$

Answer 1

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

The given expression $10x^2+3x+7$ is a polynomial in the variable $x$

The term $10x^2$ has a degree $2$

The term $3x$ has a degree $1$

The term $7$ has a degree $0$ ($\because$$7$ is a constant)

Since the highest power of the variable $x$ is $2$

so, the degree of the polynomial is $2$.