What you'll learn
Students will learn the process of completing the square for quadratic functions/equations and use it correctly.
Students will learn finding the discriminant of quadratic functions/equations and use it to find the coordinates of intersection(s) between a curve and a line.
Students will learn solving quadratic equations, finding axis of symmetry, and solving quadratic inequalities.
Students will learn to know if there is a solution or not for simultaneous equations by using discriminant term of quadratics.
Students will learn solving simultaneous equations by substitution if one equation is linear and one is quadratic.
Students will learn recognizing and solving equations in x which are quadratic in some function of x.
Students will learn finding constants in a quadratic function/equation based on the discriminant term conditions.
Students will learn finding a quadratic equation if the plot/graph of the equation is given.
Students will learn finding the location/coordinates of vertex of quadratics and to know if it has a maximum or minimum value.

Requirements
GCSE Mathematics

Description
By taking this course of solving exam questions on the quadratics and its related sub-topics, students will learn the fundamentals and advanced level questions to successfully pass AS/A level of math with a very good/excellent grade.Through this course:Students will learn the process of completing the square for quadratic functions/equations and use it correctly.Students will learn finding the discriminant of quadratic functions/equations and use it to find the coordinates of intersection(s) between a curve and a line.Students will learn solving quadratic equations, finding axis of symmetry, and solving quadratic inequalities.Students will learn solving simultaneous equations by substitution if one equation is linear and one is quadratic.Students will learn recognizing and solving equations in x which are quadratic in some function of x.Students will learn to know if there is a solution or not for simultaneous equations by using discriminant term of quadratics.Students will learn finding constants in a quadratic function/equation based on the discriminant term conditions.Students will learn finding a quadratic equation if the plot/graph of the equation is given.Students will learn finding the location/coordinates of vertex of quadratics and to know if it has a maximum or minimum value.----The course is intended for:Students who want to completely learn the exam style questions on quadratics, thereby taking AS/A level exam of mathematics (Paper 1) successfully.Learners who want to know solving quadratic-related questions comprehensively and to boost their math skills successfully.

Overview
Section 1: Solving Exam Questions on Quadratics (AS/A Mathematics)

Lecture 1 Important Notes on Quadratics for Exam-related Questions

Lecture 2 Q1: Expressing quadratics in completing the square form and finding constants

Lecture 3 Q2: Use of discriminant term to find the set of constant values of the equations

Lecture 4 Q3: Solving quadratic inequalities by knowing the x-intercepts/roots of equation

Lecture 5 Q4: Solving a quadratic inequality graphically

Lecture 6 Q5: Use of roots to find parameters and discriminant property for equal roots

Lecture 7 Q6: Finding the set of values of a parameter when a line intersects a curve

Lecture 8 Q7: Finding the set of values when a line intersects with a quadratic curve

Lecture 9 Q8: Finding the roots of disguising quadratic equations by power reduction

Lecture 10 Q9: Finding coordinates of intersection point(s) between a line and a curve

Lecture 11 Q10: Showing that there are no real solutions to simultaneous equations

Lecture 12 Q11: Finding the vertex coordinates and stating if it is at maximum or minimum

Lecture 13 Q12: Solving simultaneous equations by substitution with one quadratic equation

Lecture 14 Q13: Application of quadratic equation to find the maximum area

Lecture 15 Q14: Finding the equation of axis of symmetry of a quadratic equation

Lecture 16 Q15: Finding the equation of a quadratic curve when vertex point is known

Lecture 17 Q16: Finding the equation of a quadratic curve from y-intercept and vertex point

Lecture 18 Q17: Finding the equation of a quadratic curve from the x- and y-intercepts

Students who want to completely learn the exam style questions on quadratics, thereby taking AS/A level exam of mathematics (Paper 1) successfully.,Learners who want to know solving quadratic-related questions comprehensively and to boost their math skills successfully.

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