Solving Cubic Equation | Paradigm

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Secondary 3 A Math

Bridging to Sec 3 A Math

Solving by Quadratic Formula (2)
Solving by Complete The Square (3)

Nature of Roots

Quadratic Inequality (4:28)
Reverse Quadratic Inequality (3:13)
Nature of Roots (Axis and Curve) (7:12)
Nature of Roots (Question Type 1 - Finding Range) (5:59)
Nature of Roots (Question Type 2 - Proving Question) (29:47)
Nature of Roots (Curve and Line) (2:45)
Summary (4:44)

Surds

Properties of Surds (6:05)
Practices on Simplifying (2:27)
Practices on Simplifying Part 2 (3:47)
Rationalisation of Surds (4:39)
Summary (2:08)

Exponential

Question Type 1 - Compare Powers (8:05)
Question Type 2 - Sub Lg & Ln (8:11)
Question Type 3 - Substitution (3:44)
Exponential Word Problems (2:10)
Exponential Word Problems - Range (4:35)
Exponential Word Problems - Time to Infinity (3:53)

Logarithms

What is Logarithm and Why are we Learning Logarithm? (5:52)
Properties of Logarithms (10:04)
Practice Questions: Simplify Logarithms (13:11)
Practice Questions: Changing Bases (5:50)
Solving Logarithm (Type 1 & 2) (10:39)
Solving Logarithm (Type 3 - Substitution) (7:53)
Summary - Logarithm & Exponential (2:54)

Polynomials and Partial Fractions

Introduction to World of Polynomials (4:10)
Long Division (NOTE THE SIGNS AND MISSING ALGEBRA) (6:56)
Finding Unknown Values (Expand and Compare) Part 1 (5:06)
Finding Unknown Values (Substitution) Part 2* (8:36)
Remainder and Factor Theorem (8:28)
Obtaining Polynomial Equation (MUST WATCH - THIS IS DIFFICULT) (36:01)
Advance Question in Formation of Polynomial*** (11:11)
Solving Cubic Equation (13:32)
Solving Cubic Equation (Hence Questions - Replacement) (23:46)
Solving Cubic Equation (Hence Question - Surds & Nature of Roots) (29:02)
Factorising Cubic Equation (19:20)
Partial Fractions Introduction (23:22)

Binomial Theorem

Binomial Expansion (8:46)
Binomial Expansion (Full Lecture Recording) (78:39)
Finding Specific Term (Full Lecture Recording) (40:21)
Finding Specific Term (Part 2) and Unknown Power (Full Lecture Recording) (115:10)
Question Type 3 - n is unknown (Part 2) (5:42)
Summary (2:25)
6th June 2024 Class - Binomial Theorem Part 1 and 2 (83:44)

Coordinate Geometry

Important Equations and Midpoint Theory (5:49)
Missing Coordinate on Parallelogram (6:07)
Gradient of Line and Ratio of Collinear Points (7:59)
Finding Angles & Perpendicular Bisector (4:22)
Kite & Rhombuses (3:10)
Shoe Lace Method (4:32)
Practice Questions (Lesson Recording) (119:35)

Linear Law

Understanding of Linear Law (Obtaining the Curve Equation from a Straight Line) (7:17)
Process of Linearisation (6:55)
Paper 1 Question (Note Part 2) (5:02)
Paper 1 Question (Note Part 2* It is different from previous) (3:16)
Paper 2 Linear Law Graph Question (2:29)
Linear Law Paper 2 Q1 & 2 (Revision Package) (86:29)
Full Linear Law Lesson (Part 1) (114:11)

Circles

Forming Equation of Circle using CENTRE & RADIUS (8:41)
Finding CENTRE & RADIUS using EQUATION of Circle (Completing The Square) (8:04)
Finding the Position of a Point (Inside, Outside or On the Circle) (1:45)
Reflection (Vertical and Horizontal Line) (3:44)
Reflection (Diagonal Line) (5:30)
Intersection, Tangent, Chords and Perpendicular Bisector (2:23)

Introduction to Trigonometry

Introduction to Trigonometry (6:55)
Trigonometric Ratio of Special Angles (3:05)
Practice Questions (5:03)
Brief Introduction to Trigo Graphs and QUADRANT (14:23)
Tackling Quadrant Questions (4:59)
Basic Angles (9:01)
Full Lecture Recording 1 (51:25)

Trigonometric Graphs

Understanding Sine Graphs & Cosine Graphs (12:51)
How does Changing the Value of a, of b, and of c affect the graphs (9:02)
Practice Questions for Sine and Cosine Graphs (9:04)
Tangent Graphs (8:20)
Advance Trigonometry Graph Questions*** (41:06)
Full Video Recording (111:25)

Trigonometry Equations and Identities

Solving Trigonometry when it's =0, 1 or -1 (3:49)
Essential Steps to Solve Trigonometry (3:50)
Practice Questions (9:53)
Solving Trigonometry (CHANGING DOMAINS) (25:36)
Full Video Lecture (Part 1) (236:51)
Full Video Lecture (Part 2) (108:49)

Further Trigonometry

Addition Formula (15:42)
Addition Formula Practice Questions (28:04)
Double Angle Formula (54:39)
Double Angle Practice Questions (Quadrants & Proving) (22:40)
Double Angle Practice Questions (Solving) (19:57)
Double Angle Full Recorded Lesson (Proving and Solving) (53:34)
Half Angle Formula (10:17)
Summary (13:33)

R Formula

Introduction to R Formula (15:26)
Question Type 1: Maximum, Minimum Value & Corresponding Angle (26:20)
Question Type 2: Solving R Formula (12:59)
Question Type 3: Real World Questions (47:29)
Full Lesson on R-Formula (110:56)

CRASHCOURSE ON TRIGONOMETRY

Question Type 1: Simplifying (21:45)
Question Type 2: Quadrants (23:56)
Question Type 3: Graphs (18:47)
Question Type 4: Solving (24:32)

CRASH COURSE

Nature of Roots & Surds (56:30)
Exponential & Logarithm (112:10)
Polynomial & Partial Fraction (85:36)
Binomial Theorem (9:56)

Full Recording

30 December 2021 - Wed Sec 4A Maths - Trigonometry Revision (91:58)

EOY Revision

Simultaneous, Complete The Square, Inequalities, Nature of Roots (114:18)
Surds (44:45)
Polynomial (33:53)
Partial Fraction (29:31)
Exponential (40:35)
Logarithm (39:49)
Coordinate Geometry (37:56)
Circle (37:46)
Linear Law (20:09)

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Solving Cubic Equation

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