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, x2 − 4x + 7 is a polynomial, but x2 − 4/x + 7x3/2 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
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
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+8x2+9
Polynomial:
If the expression having more than three terms mean it was called as polynomial
Example: 5x2+12x3+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 3x2+5x+2 and 5x+6
Given polynomials: 3x2+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
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
Example 3:
Degree of polynomial:
(9z9 +8 z4 − 6z5 + 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
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
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+8x2+9
Polynomial:
If the expression having more than three terms mean it was called as polynomial
Example: 5x2+12x3+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 3x2+5x+2 and 5x+6
Given polynomials: 3x2+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
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
Example 3:
Degree of polynomial:
(9z9 +8 z4 − 6z5 + 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
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