MAT Polynomials- Definition and types of polynomials
- Degree of a polynomial
- Coefficients and terms of a polynomial
- Addition, subtraction, multiplication, and division of polynomials
- Remainder theorem
- Factor theorem
MAT The Quadratic Formula- Introduction to quadratic equations
- Standard form of a quadratic equation
- Solving quadratic equations using the quadratic formula
- Discriminant and its significance in quadratic equations
- Real and complex roots of a quadratic equation
- Applications of quadratic equations in real-life situations
MAT Completing the Square- Understanding the process of completing the square
- Steps to complete the square for a quadratic equation
- Solving quadratic equations by completing the square method
- Connection between completing the square and the quadratic formula
- Applications of completing the square in geometry and physics
MAT Discriminant- Definition and calculation of the discriminant of a quadratic equation
- Determining the nature of roots based on the discriminant value
- Discriminant as a tool to solve quadratic equations
- Graphical interpretation of the discriminant
- Application of discriminant in real-world problems
MAT Factorisation- Factorisation of algebraic expressions
- Common factors and greatest common factor (GCF)
- Factoring by grouping
- Factoring trinomials
- Difference of squares and perfect square trinomials
- Prime factorisation
MAT Factor Theorem- Understanding the factor theorem
- Connection between factors and roots of a polynomial
- Divisibility of polynomials
- Application of the factor theorem in finding roots of polynomials
- Polynomial division and remainder theorem
Note: This syllabus is designed to cover the key topics in MAT (Management Aptitude Test) related to polynomials, quadratic equations, and factorisation. It provides a comprehensive overview of the subject matter and will help students prepare for the exam effectively.
This course is helpful for the following exams: MAT