Question

What does the degree of a polynomial tell you about its related polynomial function?

Answer 1

The degree of a polynomial is related to the number of roots obtained from the polynomial. In this case, the roots can be classified as imaginary or real. To determine the type of roots obtained, we can calculate the determinant of the equation

Answer 2

Explanation:

An expression which contains coefficients, variables, non-negative integer exponents and constants is known as a polynomial.

For example,
`x^(2) - 5x + 4` is a polynomial

where coefficient of
`x^(2)` = 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,
`x^(2) - 5x + 4` 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
`x^(2) - 5x + 4` 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.