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First of all it is using the factor theorem. 

so need to use that to show it is a factor 

We do this by P of (-3) should = 0 

So substitute x with -3 

 p(-3)= (-3)3 - 5 (-3)2- ...

After careful consideration, we can see the function f(x) is the product of two individual functions. Usually, to find the area under a curve we integrate its function between a set limit. Given our situa...

We all make silly mistakes when in comes to Maths, so here are some common mistakes to help you out. 1. Partial Fractions: Many students think x+2/(x+1)^2 becomes A/(x+1) + B/(x+1) This ...

f'(x)=2x+5

note that f'(x)=nx^n-1

so 2x is originally x² as this is 2x^2-1

and 5 is originally 5x^1-1

 f(x)= x²+5x+c...

Firstly, use the factor theorem to determine one factor. Substitute factors of 24 into the equation, beginning at plus or minus 1 and then increasing. The first factor found will be -2, therefore (x+2) is...