Introduction:

In mathematics, a polynomial is an expression of finite length constructed from variables (also known as indeterminate) and constants, using only the operations of addition, subtraction,
multiplication, and non-negative, whole-number exponents. For example, x^2 − 4x + 7 is a polynomial, but x^2 − 4/x + 7x^3/2 is not, because its second term involves division by the variable x and
because its third term contains an exponent that is not a whole number.

(Source Wikipedia)

In this article polynomial chart we see about basic concepts of polynomial, its types of polynomial ,some example problems

Polynomial Types:

Basic concepts of polynomials:

Polynomial is nothing but algebraic expression and also concept of algebras. More types of polynomials are available in the algebra depends on the number of terms. Based on the number of terms
polynomial was classified four types

Different types of polynomial:

Polynomial chart

Types of polynomial

Monomial:

If the expression having one term mean it was called as monomial

Example: 7x ,8x2

Binomial:

If the expression having two terms mean it was called as binomial

Example: 6x+4x

Trinomial

If the expression having three terms mean it was called as trinomial

Example: 3x+8x^2+9

Polynomial:

If the expression having more than three terms mean it was called as polynomial

Example: 5x^2+12x^3+9x+10

Polynomial operations are addition of polynomial, subtraction of polynomial, multiplication of polynomial, division of polynomial

Example Problems in Polynomial:

Example problems in Polynomial degree chart:

Polynomial addition chart:

Example 1:

Add the polynomial 3x^2+5x+2 and 5x+6

Given polynomials: 3x^2+5x+2,5x+6

Now we have to arrange the terms for addition

After than add the terms one by one.

This is a polynomial addition chart

Polynomial addition

Example 2:

Polynomial multiplication chart:

(2x+5)(3x+1)

Now we have to multiply the one terms with another terms

And then add the terms

Polynomial multiplication

Example 3:

Degree of polynomial:

(9z^9 +8 z^4 − 6z^5 + 8) Find the degree of polynomial for each term?

Degree of polynomial for first term=9

Degree of polynomial for second term =4

Degree of polynomial for third term=5

Degree of polynomial for fourth term=0

Highest degree of polynomial is 9