Method of Solving a Quadratic Equation - Factorisation Method

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Real Numbers
- Concept of Real Numbers
- Euclid’s Division Algorithm
- Fundamental Theorem of Arithmetic
- Irrational Numbers and Proof of Irrationality
Number Systems
Algebra
Polynomials
- Degree of Polynomial
- Zeroes of a Polynomial
- Geometrical Meaning of the Zeroes of a Polynomial
- Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
Coordinate Geometry
Pair of Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Graphical Method with Different Cases of Solution
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
Geometry
Quadratic Equations
- Quadratic Equations
- Method of Solving a Quadratic Equation
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Factorisation Method
Trigonometry
Arithmetic Progressions
- Patterns and Sequences
- Arithmetic Progression (A.P.)
- General Term of an Arithmetic Progression
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Arithmetic Mean in A.P.
Mensuration
Coordinate Geometry
- Co-ordinate Geometry
- Distance Formula
- Section Formula
- Mid-Point Formula
Statistics and Probability
Triangles
- Similarity and Congruency of Figures
- Similarity of Triangles (Corresponding Sides & Angles)
- Basic Proportionality Theorem
- Criteria for Similarity of Triangles
Circles
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Introduction to Trigonometry
- Trigonometry
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- Trigonometric Ratios of Specific Angles
- Trigonometric Identities (Square Relations)
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
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- Area of a Segment
Surface Areas and Volumes
- Solid Figures
- Surface Area of a Combination of Solids
- Volume of a Combination of Solids
Statistics
- Mean of Grouped Data
- Mode of Grouped Data
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- Cumulative Frequency and Cumulative Frequency Table
Probability
- Concept of Probability
- Measurement of Probability
- Elementary Types of Events in Probability

CBSE: Class 10
Maharashtra State Board: Class 10

Key Points: Factorisation Method

In the factorisation method, the quadratic expression is written as a product of two linear factors

Clear fractions and brackets, if any.
Transpose all terms to one side to get the standard form
Factorise the quadratic expression into two linear factors.
Put each factor equal to zero (using the zero product rule).
Solve the resulting linear equations to obtain the roots.

Related concepts

Method of Solving a Quadratic Equation - Completing the Square Method

Method of Solving a Quadratic Equation - Quadratic Formula (Shreedharacharya's Rule)

Method of Solving a Quadratic Equation - Factorisation Method

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Topics

Real Numbers

Number Systems

Algebra

Polynomials

Coordinate Geometry

Pair of Linear Equations in Two Variables

Geometry

Quadratic Equations

Trigonometry

Arithmetic Progressions

Mensuration

Coordinate Geometry

Statistics and Probability

Triangles

Circles

Introduction to Trigonometry

Heights and Distances

Areas Related to Circles

Surface Areas and Volumes

Statistics

Probability

Key Points: Factorisation Method

Related concepts

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