Click to LEARN this concept/topic on Doubtnut · 2018. 12. 8. · 11. FACTORIZATION OF QUADRATIC POLYNOMIALS IN ONE VARIABLE 2. Factorize each of the following quadratic polynomials

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FACTORISATION

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CONCEPTFORBOARDS||ChapterFACTORISATION

1.INTRODUCTION

1.IntroductionofFactorisation

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CONCEPTFORBOARDS||ChapterFACTORISATION

2.FACTORS

1.Factors

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CONCEPTFORBOARDS||ChapterFACTORISATION

2.FACTORS

2.Factorization

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CONCEPTFORBOARDS||ChapterFACTORISATION

3.FACTORSOFAMONOMIAL

1.Factorsofamonomial

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CONCEPTFORBOARDS||ChapterFACTORISATION

4.COMMONFACTORSANDGREATESTCOMMONFACTOROFMONOMIALS

1.Commonfactorsoftwoormoremonomials

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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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CONCEPTFORBOARDS||ChapterFACTORISATION

5. FACTORIZATION OF ALGEBRAIC EXPRESSIONS WHEN A COMMONMONOMIALFACTOROCCURSINEACHTERM

1.Factorizationofalgebraicexpressionswhenacommonmonomial factoroccurs ineachterm

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CONCEPTFORBOARDS||ChapterFACTORISATION

6. FACTORIZATION OF ALGEBRAIC EXPRESSIONSWHEN A BINOMIAL IS ACOMMONFACTOR

1.Factorizationsofalgebraicexpressionswhenabinomialisacommonfactor

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CONCEPTFORBOARDS||ChapterFACTORISATION

7.FACTORIZATIONBYGROUPINGTHETERMS

1.Groupingofthetermsofanalgebraicexpressionmayleadtoitsfactorization.

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CONCEPTFORBOARDS||ChapterFACTORISATION

7.FACTORIZATIONBYGROUPINGTHETERMS

2.Factorizeeachofthefollowingexpressions:(i)

(ii)

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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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CONCEPTFORBOARDS||ChapterFACTORISATION

9. FACTORIZATION OF ALGEBRAIC EXPRESSIONS EXPRESSIBLE AS APERFECTSQUARE

1.Factorizationofalgebraicexpressionsexpressibleasaperfectsquare

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CONCEPTFORBOARDS||ChapterFACTORISATION

10.POLYNOMIALS

1.Polynomials

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CONCEPTFORBOARDS||ChapterFACTORISATION

11.FACTORIZATIONOFQUADRATICPOLYNOMIALSINONEVARIABLE

1.Factorizequadraticpolynomialvariable

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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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CONCEPTFORBOARDS||ChapterFACTORISATION

11.FACTORIZATIONOFQUADRATICPOLYNOMIALSINONEVARIABLE

3.Factorizationofquadraticpolynomialsoftheorem and

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CONCEPTFORBOARDS||ChapterFACTORISATION

11.FACTORIZATIONOFQUADRATICPOLYNOMIALSINONEVARIABLE

4.Factorize:

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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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