NT Year 11 - 10: Quadratic and other Polynomials
- Factors by Grouping
- Difference of Two Squares
- Common factor and the difference of two squares
- Quadratic Trinomials (monic): Case 1
- Quadratic Trinomials (monic): Case 2
- Quadratic Trinomials (monic): Case 3
- Quadratic Trinomials (monic): Case 4
- Factorisation of nonmonic quadratic trinomials
- Factorisation of nonmonic quadratic trinomials: Moon method
- Binomial expansions
- Conjugate binomials with surds
- Rationalising the denominator
- Rationalising binomial denominators
- Introduction to Quadratic Equations
- Solving Quadratic Equations with Factorisation
- Solving Quadratic Equations
- Completing the square
- Solving Quadratic Equations by Completing the Square
- The Quadratic Formula
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Problem solving with quadratic equations
- Solving Simultaneous Quadratic Equations Graphically
- The parabola: to describe properties of a parabola from its equation
- Quadratic Polynomials of the form y = ax^2 + bx + c
- Graphing perfect squares: y=(a-x) squared
- Graphing irrational roots
- Solving Simultaneous Equations graphically
- Graphing complex polynomials: quadratics with no real roots
- Sum and Difference of Two Cubes
- Graphing cubic curves
- Complex Numbers: Adding and Subtracting
- Complex Numbers: Multiplying and Dividing
- Adding and Subtracting Complex Numbers using Vectors
- Introduction to polynomials
- The Sum, Difference and Product of Two Polynomials
- Polynomials and Long Division
- The Remainder Theorem
- More on Remainder Theorem
- The factor theorem
- More on the factor theorem
- Complete factorisations using the factor theorem
- Polynomial equations
- Graphs of polynomials
- The Sum and Product of the Roots of Quadratic Equations.
- The Sum and Product of the Roots of Cubic and Quartic Equations.
- Methods of Approximating Roots.
- Newton's Method of Approximation.