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BOARDS CONCEPTS BOOSTER FACTORISATION Download Doubtnut Today Ques No. Question 1 CONCEPT FOR BOARDS || Chapter FACTORISATION 1. INTRODUCTION 1. Introduction of Factorisation Click to LEARN this concept/topic on Doubtnut 2 CONCEPT FOR BOARDS || Chapter FACTORISATION 2. FACTORS 1. Factors Click to LEARN this concept/topic on Doubtnut 3 CONCEPT FOR BOARDS || Chapter FACTORISATION 2. FACTORS 2. Factorization Click to LEARN this concept/topic on Doubtnut

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  • BOARDSCONCEPTSBOOSTER

    FACTORISATION

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    QuesNo. Question

    1

    CONCEPTFORBOARDS||ChapterFACTORISATION

    1.INTRODUCTION

    1.IntroductionofFactorisation

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    2

    CONCEPTFORBOARDS||ChapterFACTORISATION

    2.FACTORS

    1.Factors

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    3

    CONCEPTFORBOARDS||ChapterFACTORISATION

    2.FACTORS

    2.Factorization

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  • 4

    CONCEPTFORBOARDS||ChapterFACTORISATION

    3.FACTORSOFAMONOMIAL

    1.Factorsofamonomial

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    5

    CONCEPTFORBOARDS||ChapterFACTORISATION

    4.COMMONFACTORSANDGREATESTCOMMONFACTOROFMONOMIALS

    1.Commonfactorsoftwoormoremonomials

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    6

    CONCEPTFORBOARDS||ChapterFACTORISATION

    4.COMMONFACTORSANDGREATESTCOMMONFACTOROFMONOMIALS

    2.Greatestcommonfactor(gcf)orhighestcommonfactor(hcf)Thegreatestcommonfactors of givenmonomials is the common factor having a greatest coefficient andhighestpowerofthevariables.

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    7

    CONCEPTFORBOARDS||ChapterFACTORISATION

    5. FACTORIZATION OF ALGEBRAIC EXPRESSIONS WHEN A COMMONMONOMIALFACTOROCCURSINEACHTERM

    1.Factorizationofalgebraicexpressionswhenacommonmonomial factoroccurs ineachterm

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  • 8

    CONCEPTFORBOARDS||ChapterFACTORISATION

    6. FACTORIZATION OF ALGEBRAIC EXPRESSIONSWHEN A BINOMIAL IS ACOMMONFACTOR

    1.Factorizationsofalgebraicexpressionswhenabinomialisacommonfactor

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    9

    CONCEPTFORBOARDS||ChapterFACTORISATION

    7.FACTORIZATIONBYGROUPINGTHETERMS

    1.Groupingofthetermsofanalgebraicexpressionmayleadtoitsfactorization.

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    10

    CONCEPTFORBOARDS||ChapterFACTORISATION

    7.FACTORIZATIONBYGROUPINGTHETERMS

    2.Factorizeeachofthefollowingexpressions:(i)

    (ii)

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    11

    CONCEPTFORBOARDS||ChapterFACTORISATION

    8. FACTORIZATION OF BINOMIAL EXPRESSIONS EXPRESSIBLE AS THEDIFFERENCEOFTWOSQUARES

    1.Factorizationofbinomialexpressionsexpressibleasthedifferenceoftwosquares

    a3 + a2(x − y)

    − a(y + z) − z

    (x2 + 3x)2

    − 5(x2 + 3x)

    − y(x2 + 3x) + 5y

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    12

    CONCEPTFORBOARDS||ChapterFACTORISATION

    9. FACTORIZATION OF ALGEBRAIC EXPRESSIONS EXPRESSIBLE AS APERFECTSQUARE

    1.Factorizationofalgebraicexpressionsexpressibleasaperfectsquare

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    13

    CONCEPTFORBOARDS||ChapterFACTORISATION

    10.POLYNOMIALS

    1.Polynomials

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    14

    CONCEPTFORBOARDS||ChapterFACTORISATION

    11.FACTORIZATIONOFQUADRATICPOLYNOMIALSINONEVARIABLE

    1.Factorizequadraticpolynomialvariable

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    15

    CONCEPTFORBOARDS||ChapterFACTORISATION

    11.FACTORIZATIONOFQUADRATICPOLYNOMIALSINONEVARIABLE

    2. Factorize each of the following quadratic polynomials : (i) (ii)(iii)

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    x2 − 23x + 132x2 − 21x + 108 x2 + 5x − 36

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  • 16

    CONCEPTFORBOARDS||ChapterFACTORISATION

    11.FACTORIZATIONOFQUADRATICPOLYNOMIALSINONEVARIABLE

    3.Factorizationofquadraticpolynomialsoftheorem and

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    17

    CONCEPTFORBOARDS||ChapterFACTORISATION

    11.FACTORIZATIONOFQUADRATICPOLYNOMIALSINONEVARIABLE

    4.Factorize:

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    18

    CONCEPTFORBOARDS||ChapterFACTORISATION

    11.FACTORIZATIONOFQUADRATICPOLYNOMIALSINONEVARIABLE

    5.Factorizationof quadratic polynomialsbyusingmethodof completing theperfectsquare

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    ax2 + bx + c a ≠ 1

    (2x + 3y)2

    − 5(2x + 3y) − 14

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