Write the definition of different types of polynomial with example on the basis of terms and degree
Answers
Answer:
Polynomial Degree Example
Constant or Zero Polynomial 0 6
Linear Polynomial 1 3x+1
Quadratic Polynomial 2 4x2+1x+1
Cubic Polynomial 3 6x3+4x3+3x+1
Quartic Polynomial 4 6x4+3x3+3x2+2x+1
Example: Find the degree of the polynomial 6s4+ 3x2+ 5x +19
Solution:
The degree of the polynomial is 4.
Terms of a Polynomial
The terms of polynomials are the parts of the equation which are generally separated by “+” or “-” signs. So, each part of a polynomial in an equation is a term. For example, in a polynomial, say, 2x2 + 5 +4, the number of terms will be 3. The classification of a polynomial is done based on the number of terms in it.
Polynomial Terms Degree
P(x) = x3-2x2+3x+4 x3, -2x2, 3x and 4 3
Types of Polynomials
Polynomials are of 3 different types and are classified based on the number of terms in it. The three types of polynomials are:
Monomial
Binomial
Trinomial
These polynomials can be combined using addition, subtraction, multiplication, and division but is never division by a variable. A few examples of Non Polynomials are: 1/x+2, x-3
Monomial
A monomial is an expression which contains only one term. For an expression to be a monomial, the single term should be a non-zero term. A few examples of monomials are:
5x
3
6a4
-3xy
Binomial
A binomial is a polynomial expression which contains exactly two terms. A binomial can be considered as a sum or difference between two or more monomials. A few examples of binomials are:
– 5x+3,
6a4 + 17x
xy2+xy
Trinomial
A trinomial is an expression which is composed of exactly three terms. A few examples of trinomial expressions are:
– 8a4+2x+7
4x2 + 9x + 7