Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

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Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Some quadratics are to be solved by factorising

Factorising basic quadratics into linear expressions

Factorising further basic quadratics into linear expressions

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Simple exam for IGCSE level factorisation and sequences. One of my first projects, probably contains many mistakes (marking is not very dynamic for example).

Student is asked whether a quadratic equation can be factorised. If they say "yes", they're asked to give the factorisation.

A custom marking algorithm for a JME part estabishes whether the student's answer is equivalent to the expected answer, up to an arbitrary constant factor.

Objetivo: Resolver ecuaciones de segundo grado de la forma $x^2+bx+c=0$ que se pueden factorizar.

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

Shows how to define variables to stop degenerate examples.

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.

Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Multiples, factors, lowest common multiples and highest common factors.

Using the IF to find the General Solution.

Find the solution of $\displaystyle x\frac{dy}{dx}+ay=bx^n,\;\;y(1)=c$

Cofactors Determinant and inverse of a 3x3 matrix.