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Details on inputting numbers into Numbas.

Inputting algebraic expressions into Numbas.

Customised for the Numbas demo exam

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Video in Show steps.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Given sentences involving propositions translate into logical expressions.

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

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

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

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

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Video in Show steps.

Factorising basic quadratics into linear expressions

Factorising further basic quadratics into linear expressions

Factorising further quadratics into linear expressions

Factorising further quadratics into linear expressions using the formula

Putting algebraic fractions into their simplest forms

Putting algebraic fractions into their simplest forms