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# About Polynomials by Shashank Bandre Class 10th CBSE

This ppt is on the topic polynomials ........ In this you are getting a basic little information about polynomials
Published on: Mar 4, 2016
Published in: Education

#### Transcripts - About Polynomials by Shashank Bandre Class 10th CBSE

• 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