{"ok":true,"q":"Roots of Polynomial Equations","n":89,"results":[{"id":"class_09\/mathematics\/chapter_02_polynomials","title":"Chapter 2 — Polynomials","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Polynomials (Class 9, NCERT Mathematics). This chapter introduces polynomials as algebraic expressions in one variable, explains their classification (monomial, binomial, ","topic":"Zeros (Roots) of a Polynomial","anchor":"topic-4"},{"id":"class_10\/mathematics\/chapter_02_polynomials","title":"Chapter 2 — Polynomials","class_num":10,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: This chapter introduces polynomials as expressions formed from variables and coefficients using only addition, subtraction and multiplication by non-negative integer ","topic":"Zeros (Roots) of a Polynomial","anchor":"topic-4"},{"id":"class_11\/mathematics\/chapter_05_complex_numbers_and_quadratic_equations","title":"Chapter 5 — Complex Numbers And Quadratic Equations","class_num":11,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces complex numbers and their role in solving quadratic equations that have no real roots. Starting from the imaginary unit i (i^2 = -1), students learn the alg","topic":"Quadratic Equations with Complex Roots and Conjugate Root Theorem","anchor":"topic-12"},{"id":"class_10\/mathematics\/chapter_04_quadratic_equations","title":"Chapter 4 — Quadratic Equations","class_num":10,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: A quadratic equation is a second-degree polynomial equation in one variable, written as ax^2 + bx + c = 0 (a ≠ 0). This NCERT chapter introduces methods to solve such","topic":"Forming Quadratic Equations from Roots or Conditions","anchor":"topic-8"},{"id":"class_08\/mathematics\/chapter_02_linear_equations_in_one_variable","title":"Chapter 2 — Linear Equations In One Variable","class_num":8,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces linear equations in one variable — algebraic equations that can be written in the form ax + b = c — and the methods used to solve them. Students learn what ","topic":"","anchor":""},{"id":"class_12\/mathematics\/chapter_09_differential_equations","title":"Chapter 9 — Differential Equations","class_num":12,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: Differential Equations (Class 12 NCERT) introduces equations that relate a function with its derivatives. Such equations model how quantities change and are essential","topic":"","anchor":""},{"id":"class_06\/mathematics\/chapter_11_algebra","title":"Chapter 11 — Algebra","class_num":6,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Algebra (Mathematics – VI) Introduction: This chapter introduces algebra as a compact way to express patterns and relationships using symbols (usually letters). Students m","topic":"","anchor":""},{"id":"class_07\/mathematics\/chapter_04_simple_equations","title":"Chapter 4 — Simple Equations","class_num":7,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces simple linear equations in one variable and builds the first formal bridge from arithmetic to algebra. Students learn what an equation is, how an unknown (v","topic":"","anchor":""},{"id":"class_08\/mathematics\/chapter_14_factorisation","title":"Chapter 14 — Factorisation","class_num":8,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: This chapter introduces factorisation — the process of expressing an algebraic expression as a product of simpler expressions (factors). Importance: Factorisation is ","topic":"","anchor":""},{"id":"class_11\/chemistry\/chapter_05_states_of_matter_gases_and_liquids","title":"Chapter 5 — States Of Matter Gases And Liquids","class_num":11,"subject":"chemistry","subject_label":"Chemistry","summary":"This chapter (States of Matter: Gases and Liquids) introduces the physical behaviour of matter in the gaseous and liquid states and develops the molecular-level explanations for th","topic":"","anchor":""}]}