polynomial function

Let us learn about polynomial function

In the linear algebra, there are different types of polynomials like monomial, minimal polynomial, complex polynomial. A complex polynomial can be is either zero or it can be written as the sum of one or more non-zero terms but the number of term are to be finite.To get the polynomial equations the complex polynomials or the minimal polynomials are been combined by using the commutative, associative, and distributive laws, by combining like terms.

The degree of a constant term is 0.

A function ƒ of the one argument is known as polynomial function if it satisfies

f(x) = a_nxⁿ + a_n-1x^n-1 + ... + a₂x² + a₁x + a₀

For all arguments of x, where n is a non-negative integer and a₀, a₁, a₂, ..., a_n are constant coefficients.

The minimal polynomial is not always the same as characteristic polynomial. Consider a matrix 4I_n, which has characteristic polynomial (x – 4)ⁿ. It’s the minimal polynomial is x − 4, since 4I_n − 4I_n = 0, so they are different for n > 2. The minimal polynomial always divides characteristic polynomial.

In our next blog we shall learn about saturated steam table I hope the above explanation was useful.Keep reading and leave your