Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.

Factorising polynomials using the highest common factor

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

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

Factorising polynomials using the highest common factor

This question asks learners to use row operations to find the inverse of a 3x3 matrix.

This question asks learners to use row operations to find the inverse of a 3x3 matrix.

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Solving quadratic equations using a formula

Solving quadratic equations using a formula,

Solving quadratic equations using a formula,

Factorising polynomials using the highest common factor

Solve a pair of linear equations by writing an equivalent matrix equation.

Questions on manipulating logarithms.

Questions on manipulating logarithms.

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Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Composite multiplication and division of complex numbers. Two parts.

Solving quadratic equations using a formula

Solving quadratic equations using a formula,

Solving quadratic equations using a formula,

Introductory exercise about subsets using custom grading code.

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No description given

Solve quadratic equations using formula.

Selection of Quadratic Equations to Solve

Using Jsxgraph to draw the vector field for a differential equation of the form $\frac{dy}{dx}=f(x,y)=x^2-y^2$, and also by moving the point $(x_0,y_0)$ you can see the solution curves going through that point.

If you want to modify $f(x,y)$ simply change the definition of  $f(x,y)$ and that of the variable  str in the user defined function testfield in Extensions and scripts. You have to use javascript notation for functions and powers in the definition of $f(x,y)$.

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.