POLYNOMIAL
Submitted by
Kavitha.M
Reg No:13971007
Mathematics Option
Polynomial
A Polynomial is defined
as a single terms or a sum of a finite number of
terms. In mathematics, a polynomial...
LIKE TERMS
"Like terms" are terms whose variables are the same. In other
words, terms that are "like" each other.
Examp...
Polynomial Addition
Sum of two polynomials, we need only
add the coefficient of equal powers. The constant terms
should...
Polynomial Subtraction
Difference of two polynomial, we need only subtract
the
coefficient of equal powers.To subtract ...
POLYNOMIAL
MULTIPLICATION
To multiply polynomial ,multiply each term of
the first polynomial by each term of the second...
MULTIPLICATION AND ADDITION
For any three numbers x,y,z , xz+yz=(x+y)z
If there is a common polynomial among these then ...
Degree of polynomial
The degree of polynomial is the largest exponent
occuring in its terms.
Eg : 8x²+ 3x + 4
Degree o...
Conclusion
Polynomials are one of the
most important topics in mathematics. For this reason,
it is important that you l...
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Polynomial -ppt

Powerpoint
Published on: Mar 4, 2016
Published in: Science      
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Transcripts - Polynomial -ppt

  • 1. POLYNOMIAL Submitted by Kavitha.M Reg No:13971007 Mathematics Option
  • 2. Polynomial A Polynomial is defined as a single terms or a sum of a finite number of terms. In mathematics, a polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials appear in a wide variety of areas of mathematics and science
  • 3. LIKE TERMS "Like terms" are terms whose variables are the same. In other words, terms that are "like" each other. Example: 7x x -2x Are all like terms because the variables are all x. Add like terms together to make one term: Example: 7x + x They are both like terms, so you can just add them: 7x + x = 8x
  • 4. Polynomial Addition Sum of two polynomials, we need only add the coefficient of equal powers. The constant terms should also be added. Adding polynomials is just a matter of combining like terms, with some order of operations considerations thrown in. Eg: Simplify (2x + 3) + (4x + 6) = 2x + 3 + 4x + 6 = 2x+4x+9 =6x+9
  • 5. Polynomial Subtraction Difference of two polynomial, we need only subtract the coefficient of equal powers.To subtract two polynomials subtract like terms. Eg : Simplify (2x + 3) – (4x+6) = 2x+3-4x-6 = (2x-4x)+(3-6) = -2x-3 =-(2x+3)
  • 6. POLYNOMIAL MULTIPLICATION To multiply polynomial ,multiply each term of the first polynomial by each term of the second polynomial and then combine like terms Example: (2x+5)(4x-3)=(2xx4x)+(2x x-3)+(5x4x)+(5x-3) =8x²+6x+20x+15 =8x²+26x+15
  • 7. MULTIPLICATION AND ADDITION For any three numbers x,y,z , xz+yz=(x+y)z If there is a common polynomial among these then there is no need to multiply twice and add . Example: (2x+1)(3x+4)+(4x+3)(3x+4) here the polynomial (3x+4)is common for both =((2x+1)+(4x+3))(3x+4) =(6x+4)(3x+4) =18x²+24x+12x+16 =18x²+36x+16
  • 8. Degree of polynomial The degree of polynomial is the largest exponent occuring in its terms. Eg : 8x²+ 3x + 4 Degree of polynomial = 2 A polynomial whose degree ‘ 1’ is called first degree polynomial, a polynomial whose degree ‘ 2’ is called second degree polynomial.
  • 9. Conclusion Polynomials are one of the most important topics in mathematics. For this reason, it is important that you learn polynomials well. Moreover, polynomials are great ways to develop a particular thinking skill. Polynomials should be studied both because they are one of the most frequently discussed objects in mathematics and because they are one of the most interesting.

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