Here we will learn the basic concept of polynomial and the degree of a polynomial.
What is polynomial?
An algebraic expression which consists of one, two or more terms is called a polynomial.
How to find a degree of a polynomial?
The degree of the polynomial is the greatest of the exponents (powers) of its various terms.
Examples of polynomials and its degree:
3. Find the degree of a polynomial 7x – 4
We observe that the above polynomial has two terms. Here the first term is 7x and the second term is -4
Now we will determine the exponent of each term.
(i) the exponent of the first term 7x = 1
(ii) the exponent of the second term -4 = 1
Since, the greatest exponent is 1, the degree of 7x – 4 is also 1.
Therefore, the degree of the polynomial 7x – 4 = 1.
4. Find the degree of a polynomial 11x3 - 13x5 + 4x.
6. Find the degree of a polynomial -2x.
We observe that the above polynomial has one term. Here the term is -2x.
Now we will determine the exponent of the term.
(i) the exponent of the first term -2x = 1
Therefore, the degree of the polynomial -2x = 1.
● Terms of an Algebraic Expression
Types of Algebraic Expressions
Multiplication of Two Monomials
Multiplication of Polynomial by Monomial
Multiplication of two Binomials
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● Terms of an Algebraic Expression - Worksheet
Worksheet on Types of Algebraic Expressions
Worksheet on Degree of a Polynomial
Worksheet on Addition of Polynomials
Worksheet on Subtraction of Polynomials
Worksheet on Addition and Subtraction of Polynomials
Worksheet on Adding and Subtracting Polynomials
Worksheet on Multiplying Monomials
Worksheet on Multiplying Monomial and Binomial
Worksheet on Multiplying Monomial and Polynomial
Worksheet on Multiplying Binomials
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