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Well the question states that it wants you to use the factor theorem so it would be a good idea to write down the factor theorem to remind ourselves."A polynomial f(x) has a factor (x - a) if and onl...

Using quotient rule, let u = 2x+12 and v = 1-x. Then we differentiate u and v separately, so u' = 2 and v' = -1. The formula for the quotient rule is: (vu' - uv')/v^2. Plugging in our values into this equ...

7sqrt2-4sqrt2=3sqrt2

To tackle this type of question you would need to differentiate by substitution by implying the chain rule.If we substitute ax+b for a single character,lets say q , the expression becomes q^n which is eas...

You may be asked to rationalise the denominator of an algebraic expression if it contains a surd in the denominator - such as a^1/2. They can get slightly more complex than this though! What it ...