Polynomials
Sketching cubic functions

Polynomials

Quadratics​

• Factorising by sum and product {part 1}
• Factorising by sum and product {part 2}
• Factorising by cross method {part 1}
• Factorising by cross method {part 2}
• Solving quadratics: by factorisation
• Solving quadratics: by completing the square
• Solving quadratics: the quadratic formula
• The discriminant
• Sketching quadratics from factorised form
• Sketching quadratics from vertex form {part 1}
• Sketching quadratics from vertex form {part 2}
• Sketching quadratics by completing the square
• Sketching quadratics from general form
• Finding the quadratic function from its graph {part 1}
• Finding the quadratic function from its graph {part 2}
• Finding the quadratic function from its graph {part 3}
• Finding where functions meet

Student Questions

• Sketching quadratics by completing the square
• Where functions meet​

Cubics and Quartics

• Polynomial equality (equating coefficients)
• Factorising cubic polynomials
• Solving cubic polynomials
• Sketching cubic functions
• Finding cubic functions from its graph
• Sketching quartic functions
• ​Finding quartic functions from its graph​

Cubic functions have distinct shapes that are determined by the types of factors it is made up of. We can use the axes intercepts and nature of the factors to sketch cubics given its function.