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To factorise and solve for x, open two sets of brackets, i.e: (x )(x ). For this question note than one x should be replaced by 2x such that (2x )(x ). List the pairs of numbers that give a product of 12, i....

Firstly, an algebraic expression of an odd number should be identified, such as 2n+1 or 2n-1. Doing this would also indicate the knowledge that 2n is always an even number, which will be important further on...

The gradient of the curve equals the first derivative.dy/dx = 2x - 2At the turning point the gradient equals zero.2x -2 = 02x = 2 x= 1to find the y co-ordinate to this point substitute x = 1 into the origina...

Part 1 of this question asks you to explain why 2n+1 is an odd number, so it is assumed that the student knows this already. The definition of any odd number is 2n+1. Since all consecutive odd numbers are tw...

In order to answer this question we should first break it down into simpler parts. Using the law of indices we can start this process. Using the law above we can break down the components of the original que...