Topics
Linear Equations in Two Variables
- Foundation of Linear Equations in Two Variables
- Simultaneous Linear Equations
- Graph of a Linear Equation in Two Variables
- Methods of Solving Linear Equations in Two Variables > Graphical Method
- Methods of Solving Linear Equations in Two Variables > Determinant method (Cramer’s Rule)
- Equations Reducible to Linear Equations
- Application of Simultaneous Equations
Quadratic Equations
- Concept of Quadratic Equations
- Factorisation Method
- Completing the Square Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
- Formation of a Quadratic Equation with Given Roots
- Application of Quadratic Equation
Arithmetic Progression
- Patterns and Sequences
- Arithmetic Progression (A.P.)
- General Term (nth) of an Arithmetic Progression
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Application of an Arithmetic Progression (A.P)
Financial Planning
Probability
Statistics
CBSE: Class 10
Maharashtra State Board: Class 10
Maharashtra State Board: Class 10
Formula: Relation Between Zeroes (Roots) and Coefficients
For a quadratic polynomial
ax2 + bx + c (a≠0)
If its zeroes are α and β, then:
\[\alpha+\beta=-\frac{b}{a}\]
\[\alpha\beta=\frac{c}{a}\]
CBSE: Class 10
Formula: Zeroes of the Cubic polynomial
For a cubic polynomial
ax3 + bx2 + cx + d,
\[\alpha+\beta+\gamma=-\frac{b}{a}\]
\[\alpha\beta+\beta\gamma+\gamma\alpha=\frac{c}{a}\]
\[\alpha\beta\gamma=-\frac{d}{a}\]
Video Tutorials
Shaalaa.com | Polynomials part 9 (Relation between zeroes & coefficient quadratic polynomials)
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