Quotient and remainder, polynomial division.

More work on differentiation with fractional coefficients

Using the chain rule with polynomials and negative powers.

A basic introduction to differentiation

A basic introduction to differentiation

Using the chain rule with polynomials and negative powers

More work on differentiation with fractional coefficients

More work on differentiation with fractional coefficients and powers

Using the chain rule with polynomials

More work on differentiation with fractional coefficients.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

Identify whether or not an expression is a polynomial. From HELM Book 2.7.1.

Unmarked question, with advice.

Write down an example of a polynomial of given degree and given variable.

Write down a non-polynomial function.

Explain why a polynomial with a fractional index is not a polynomial.

Given an arbitrary polynomial, identify its degree.

Calculating area under curves of the form $ax^2+bx$ and $ax^4+bx^3+cx^2+dx+e$ in a contextualised problem.

Finding the stationary point (maximum) of a quadratic equation in a contextualised problem. 

Calculating the gradient of a quadratic equation at a specific point and finding the stationary point (maximum) in a contextualised problem. 

Apply the factor and remainder theorems to manipulate polynomial expressions

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

Multiple choice question. Given a randomised polynomial select the possible ways of writing the domain of the function.

No description given

Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.

No description given

Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

Finding the product of a linear function of the form $mx+c$ and a cubic function of the form $ax^3+bx^2+cx+d$.