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'Simplest surd form' is a clue that quadratic factorising will not work for this question, so we must instead use the quadratic formula. It is always a good idea to quote this as marks are often available...

Simultaneous equation questions look very intimidating because not only are there 2 equations to solve but there is 2 variables in each! To start with, we're going to make the equations look less confusin...

(x+4)(x+1)=0

x=-1   x=-4

Stationary points occur when the gradient of the function is zero. They can be visualised on a graph as hills (maximum points), as troughs (minimum points), or as points of inflection. (I would draw all t...

This a relatively simple question which requires the use of the chain rule to solve. First we set u = sin(x)  so we then have y = u² . Next we perform do differentiations, one on u as a functio...