2. Algebra
Algebra serves as a foundational component of mathematics, enabling the simplification and solution of complex problems. This chapter covers polynomials, algebraic identities, and the methodologies surrounding quadratic equations, emphasizing their practical applications and theoretical underpinnings. The concepts of factorization, along with relationships between roots and coefficients, are also explored, providing a comprehensive understanding essential for advancing in mathematics.
Enroll to start learning
You've not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- Polynomials are algebraic expressions that involve variables and coefficients.
- Algebraic identities simplify the expansion and factorization processes.
- Quadratic equations can be solved through various methods such as factorization, completing the square, and using the quadratic formula.
Key Concepts
- -- Polynomial
- An algebraic expression comprised of variables and coefficients that consists solely of addition, subtraction, multiplication, and non-negative integer exponents.
- -- Algebraic Identity
- An equation that holds true for all values of the variable involved, simplifying operations such as expansion and factorization.
- -- Quadratic Polynomial
- A polynomial of degree two expressed in the standard form ax^2 + bx + c, where a ≠ 0.
- -- Quadratic Formula
- The formula x = (-b ± √(b² - 4ac)) / (2a) used to find the roots of quadratic equations.
Additional Learning Materials
Supplementary resources to enhance your learning experience.