Step-by-step explanation:
An expression which contains coefficients, variables, non-negative integer exponents and constants is known as a polynomial.
For example, is a polynomial
where coefficient of = 1
coefficient of x = -5
constant = 4
variable = x
and exponent = 2
Degree of a polynomial is the highest power of variable in an expression.
In the above example, that is, has a highest power of 2.
Degree of a polynomial tells about the number of roots a polynomial will have. Thus, we can conclude that has degree 2 which means it will have 2 roots.
A polynomial with degree 3 with have 3 roots, a polynomial with degree 4 with have 4 roots, and so on. A degree will always be a non-negative integer.