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This question is asking for a complete the square method. This is where you take the coefficient of x (the number before x, so 3 here) and divide it by two, this gives you b in the new form. However, upon...

When a number is raised to the power of a fraction, it is the same as rooting that number to the denominator (the number on the bottom). So if the number is raised to ½ it is the same as √ and if it is ra...

First, we need to look for a pattern. What are we needing to do to get from one number to the next? As you can see, we are multiplying each number by two to get the next number. 8 multiplied by 2 is 16, a...

This problem tests two key sub-topics in calculus, kinematics and the chain rule. Firstly, you must realise that the derivative of a velocity function will give you the acceleration function. So by findin...

To find the points at which an equation intersects the x-axis, we first need to factorise the equation to be able to find the solutions. To do this, we consider the general form of a quadratic equation a...