Another consists of a reformulation of the common iteration that accommodates a QR factorisation of the residual blocks and implicitly eliminates the effects of rank deficiencies.

To remedy this, O'Leary [6] suggests to incorporate in the algorithm a QR factorisation of [V.

k)] may contain some spurious descent vectors artificially created by the factorisation scheme.

FactorInteger[n] computes the prime factors of n and their power in its prime factorisation, for example:

Thus the prime factorisation of 9864, that is, its representation as a product of powers of primes, is [2.

com/ FactoringAnInteger provides the prime factorisation of a number while the Demonstration http:// demonstrations.

Polynomial division, consider the factorisation example rewritten as:

My observation, and that of my colleagues, has been that most students readily adopt the multiplication grids as their preferred method, given the option of using it or an alternative like the distributive laws for expansions and polynomial equality for factorisation.

The way quadratic factorisation was usually taught to students in Bukit View Secondary (as well as other secondary schools in Singapore) was through the familiar "cross-method".

After discussion, the team identified possible problems that students might experience regarding quadratic factorisation.

factorisation seen as an isolated skill to be learned without a broader context.

Their research is useful in understanding students' problems with factorisation and with identifying varied representations of the same quadratic relationship.

Multiplication facts can, alternatively to long-term semantic memory, be relinquished to short-term memory and thus lost to students during, for example, factorisation.

With this understanding, students can do the necessary procedural steps in factorisation but also step back and ask themselves if the results make sense.

Orbites d'Hurwitz des

factorisations primitives d'un element de Coxeter.