Question

Determine whether the expression is a polynomial. If it is, state how many terms and variables the polynomial contains. Then state its degree.

x2+5x + 1

Answer 1

A monomial (also called a term) is a number by itslef or a number multiplied by one or more variables.
A polynomial is a monomial or a sum of monomials.

Answer 2

A variable is that of X or Y or Z, a term is such as a constant (1), a number times x (5x), and a term at a higher power ( X^2). So in your equation you have multiple terms multiplied by a variable. The leading power of the first term is it's degree...

Answer 3

The number of terms of a polynomial is the numbner of monomials (or terms) added together.
The degree of a term is the sum of the exponents of all variables of the term.
The degree of a polynomial is the same as the degree of the term with the highest degree.