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The quadratic formula is x = [- b ± √( b 2 - 4 ac )]/2 a (1) , where a,b and c are the coefficents of a quadratic in the form a x^2+ b x+ c =0 (2) . To prove that this works we need to start from equation (2...

Take the example 2x 2 + 7x + 3 = 0 1. To factorise we need to use the general equation 'ax + bx - c = 0' where in our case a = 2 b =7 c=3. 2. First we need to mulitply the a and c values (2 3 = 6) where we h...

The Product Rule is used when differentiating two functions that are being multiplied together. It can be used by multiplying each function by the derivative of the other and adding. If y=u v then dy/dx= u d...

Firstly we should notice the similarities between this expression and expressions of the standard type a x. To deal with this type of expression, we take logarithms of both sides and then apply the usual rul...

Factorising quadratic equations This method is used for the following factorable expression: ax 2 +bx+c Although this method is particularly useful with quadratic expressions with a≥2, it can be also used wh...