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We have a quadratic equation since the highest power of x is 2. Therefore, we can use the quadratic formula, which we recall to be: x = [- b ± √(b² - 4ac) ] / 2a In accordance with the formula, we set a =...

This is a classic style of Oxbridge interview question, where the candidate is presented with a question on a topic they won't have seen before, and is expected to work logically using the information pro...

Differentiation is a branch of calculus mathematics used to determine the rate of change between certain variables. For example if an object changes its distance x over a certain time interval t, we can u...

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When each term has the same base, add the indices that are multiplied. Then subtract the indices that are divided.

a^5 x a^16 / a^ 4 = a^(5+16) / a^4 

                            = a^ 21 / a...