Complete 10th Grade Mathematics Notes
Covers: Real Numbers, Polynomials, Linear Equations, Quadratics, Trigonometry, Geometry,
Coordinate Geometry, Statistics, Probability, Circles, Mensuration, and Examples.
1. REAL NUMBERS
Key Concepts
- Prime factorization, HCF, LCM
- Rational & Irrational numbers
- Laws of Exponents
Examples:
1. Prime factorization of 84: 84 = 2² × 3 × 7
2. HCF of 28 and 42 = 14
3. LCM of 12 and 15 = 60
4. Show √2 is irrational: It cannot be written as p/q in simplest form.
, 2. POLYNOMIALS
Key Concepts
- Types: Linear, Quadratic, Cubic
- Degree of polynomial
- Remainder Theorem
- Factor Theorem
Examples
1. Degree of 5x³ − 2x + 7 is 3
2. If p(3)=0 for p(x)=x²−5x+6, then (x−3) is a factor
3. Remainder of dividing 2x³−5x+1 by (x−2) is p(2)=2
Covers: Real Numbers, Polynomials, Linear Equations, Quadratics, Trigonometry, Geometry,
Coordinate Geometry, Statistics, Probability, Circles, Mensuration, and Examples.
1. REAL NUMBERS
Key Concepts
- Prime factorization, HCF, LCM
- Rational & Irrational numbers
- Laws of Exponents
Examples:
1. Prime factorization of 84: 84 = 2² × 3 × 7
2. HCF of 28 and 42 = 14
3. LCM of 12 and 15 = 60
4. Show √2 is irrational: It cannot be written as p/q in simplest form.
, 2. POLYNOMIALS
Key Concepts
- Types: Linear, Quadratic, Cubic
- Degree of polynomial
- Remainder Theorem
- Factor Theorem
Examples
1. Degree of 5x³ − 2x + 7 is 3
2. If p(3)=0 for p(x)=x²−5x+6, then (x−3) is a factor
3. Remainder of dividing 2x³−5x+1 by (x−2) is p(2)=2
