Polynomials
Polynomial equality (equating coefficients)

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​

Two polynomials are equal if and only if they have the same degree and corresponding terms have equal coefficients. If we know that two equations are equal then we can equate coefficients to find any unknowns.