Types Of Polynomial

  • November 2019
  • PDF

This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA


Overview

Download & View Types Of Polynomial as PDF for free.

More details

  • Words: 157
  • Pages: 12
TYPES OF POLYNOMIALS  LINEAR POLYNOMIALS  QUADRATIC POLYNOMIALS  CUBIC POLYNOMIALS

LINEAR POLYNOMIALS The general form of a linear polynomial is ax+b Quadraticb polynomials The general form of A quadratic polynomial is ax²+bx+c CUBIC POLYNOMIALS THE GENERAL FORM OF A CUBIC POLYNOMIAL IS ax³+bx²+cx+d

FACTORISATION OF POLYNOMIALS

METHOD -1 FACTORISATION BY TAKING OUT THE COMMON FACTORS: • 9x²-6xy • =3.3.x.x-6.x.y • =3x(3x-2y)

METHOD-2 FACTORISATION BY GROUPING THE TERMS: x²+3x+x+3 =(x²+x)+(3x+3) =x(x+1)+3(x+1) =(x+3)(x+1)

METHOD-3 FACTORISATION BY MAKING A PERFECT SQUARE 4x²+12x+9 =(2x)²+2(2x).3+(3)² =(2x+3)²

METHOD-4 FACTORISE THE DIFFERENCE OF TWO SQUARES a²-b²=(a-b)(a+b) 9a²-4b² =(3a)²-(2b)² =(3a+2b)(3a-2b)

METHOD-5 FACTORISATION BY MAKING A PERFECT CUBE

(a+b)³=a³+b³+3ab(a+b) (a-b)³=a³-b³-3ab(a-b)

8x³+y³+12x²y+6xy² =(2x)³+(y)³+3(2x)(y)(2x+y) =(2x+y)³ =(2x+y)(2x+y)(2x+y)

METHOD 6FACTORISING THE SUM AND DIFFERENCE OF CUBES OF TWO QUANTITIES

a³+b³=(a+b)(a²-ab+b²) a³-b³=(a-b)(a²+ab+b²)

8x³+27y³ =(2x)³+(3y)³ =(2x+3y)[(2x)²-(2x)(3y)+(3y)²] =(2x+3y)(4x²-6xy+9y²)

METHOD 7FACTORISATION OF THE QUADRATIC POLYNOMIAL BY SPLITTING THE MIDDLE TERM:

x²+14x+45 AS,5+9=14 and 5.9=45 x²+14x+45 =x²+5x+9x+45 =(x²+5x)+(9x+45) =x(x+5)+9(x+5) =(x+5)(x+9)

THIS PRESENTATION IS PREPARED BY Mr.Harish Kumar OF GOVT. GIRLS. SEC. SCHOOL, PUTLIGHAR

Related Documents

Types Of Polynomial
November 2019 2
Types Of
June 2020 28
Polynomial Problems
April 2020 10
Ws7 Polynomial
April 2020 10
Polynomial Notes
April 2020 12
Polynomial Distribution
November 2019 22