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• First we'll figure out what the numbers in the co-ordinates mean. On the point (7,12) x= 7 and y=12. - The equation of the line is in the form of y=mx + c so for the point to be on the line, the y v...

x²+4x+3=0 The first step is to factorise. To do this you need to find a pair of factors of 3 that add together to make 4. I recommend listing the factors of 3 to start with. Don't forget the ne...

You should treat the question as you would a normal quadratic and complete the square. First you should look at the factors of 16 and see which pair would result in the -17x; you can see that it would be ...

3(a+4)=ac+5f

3a+12=ac+5f

3a-ac=5f-12

a(3-c)=5f-12

a= (5f-12)/(3-c)

To differentiate use formula.

multiply factor by power then minus one from power (where x is invloved)

dy/dx = 12x^3 - 24x^2

d^2y/dx^2 = 36x^2 - 48x (this is just a further differenti...