Partial Fractions

Author S.Pavani

1. Topic tree
2. TDS – Terms Definition and Symbols
3. DEF – Data, Equations and Formulae
4. Infographics
5. Concept maps / Model Problem Mapping
6. Question bank
7. Guided Practice
8. Time tested Target Practice
9. Quiz
10. Oral Test
11. Unit Test
12. Project

Topic Tree

• Proper fractions
  • Non repeated linear factor
  • Repeated linear factor
  • Non repeated quadratic factor
  • Repeated quadratic factor
• Improper fraction

Terms Definitions and Symbols

1. Polynomial – when n is a positive integer ,the expression a₀xⁿ + a₁x^n-1 + a₂x^n-2 +…+ a_n is called a polynomial in x where a₀ , a₁ , a₂ ,….a_n are constants.
2. Degree of polynomial – the degree of a polynomial is the highest of the degrees of the polynomial’s monomials with non-zero coefficients.
3. Rational fraction – an expression of the form P(x)/Q(x) , Where P(x) and Q(x) are polynomial in x.
4. Proper fraction – If the degree of P(x) is less than that of Q(x) then P(x)/Q(x) is called as a Proper fraction.
5. Improper fraction – If degree of P(x) is greater than or equal to Q(x) , then P(x)/Q(x) is called an improper fraction.

Data Equations and Formulae