This ppt is on the topic polynomials ........ In this you are getting a basic little information about polynomials

1. Kendriya Vidyalaya
sarni
MATHS PROJECT WORK
TOPIC:- POLYNOMIALS
Submitted By :-
Shashank Bandre
10th “A”

2. What is a Polynomial
 A polynomial is an expression made with constants, variables
and exponents, which are combined using addition, subtraction
and multiplication but not by division.
 The exponents can only be 0,1,2,3,…………etc.
 Examples of polynomials :- x2 + 2x +5 , 5x +1
 Examples of non polynomials :- 5x-2 +1 , 3x½ +2

3.  On the basis of number of terms-
 Monomial – Polynomials having only one term Ex-
4x, 8y
 Binomial - Polynomials having two terms.
Ex- 2x + 6, 25y – 25
 Trinomial – Polynomials having three terms.
Ex- 2x - x³ +25, x³ + 5x² -8

4. ON THE BASIS OF DEGREE
 Constant Polynomial :- Polynomials having degree zero.
Example :- 35, -5
 Linear Polynomial :- Polynomials having degree one.
Example :- x+5, 6x-5
 Quadratic Polynomial :- Polynomials having degree two
Example :- 2x² + 3x -8
 Cubic Polynomial :- Polynomials having degree three.
Example 6x³ + 7x² -x-6
 Bi-quadratic Polynomial :- Polynomials having degree four.
Example:- 2x
4
+ x³ - 8x² +5x -8

5. Relationship between the zeroes and
coefficients of a cubic polynomial
Let α, β and γ be the zeroes of the polynomial ax³ + bx² + cx + d
Then, sum of zeroes(α+β+γ) = -b = -(coefficient of x²)
a coefficient of x³
 αβ + βγ + αγ = c = coefficient of x
a coefficient of x³
 Product of zeroes (αβγ) = -d = -(constant term)
a coefficient of x³