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Find the two points of intersection of the graphs y=x2 and y=x+2.

We know the presence of the quadratic means there must be two solutions for x. We can solve this problem by treating the formulas for the graphs as simultaneous equations. We can substitute in the formula fo...
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1)Simplify sqrt 98 - sqrt 32, givimg your answer in the form k sqrt 2 where k is an integer.

7sqrt2-4sqrt2=3sqrt2
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How would I differentiate something in the form of (ax+b)^n

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 easier...
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Can you teach me how to rationalise the denominator of an algebraic expression?

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 is asking fo...
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Given that y = 4x^3 -1 + 2x^1/2 (where x>0) find dy/dx.

This is an example of a common AS differentiation Q. To find dy/dx simply apply the power rule to each term in the equation. The power rule is if you have a term x^n then dy/dx will be n times x^(n-1). e.g. ...
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