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Since there is an x^2 term, we know that there are two brackets that are of the form (x-) (x-), but we need to fill in the blanks! What are the two numbers where you can add them up to make 3, an...

f(-1) = (-1)^3 - (-1)*7 - 6 = -1 + 7 - 6 = 0

Hence f(x) = (x+1)(x^2 + ax - 6)

Expand this out

f(x) = x^3 + ax^2 - 6x + x^2 + ax - 6 

      = x^3 + (a+1)x^2 + (a-6)x -6

B...

Mathematical induction is a type of direct proof, where you can prove sequences or series. A good example of this is that we can prove 1 + 3 + 5 + .... + (2n-1) = n^2. There are 4 steps: 1. Prove the firs...

Erosion is the wearing away of the bank of the river as well as the bedload it transports. There are four main forms of river erosion. Firstly, Hydraulic action is where the force of the ...

Section 1: The object is moving away from its origin with a constant speed. There is no acceleration as demonstrated by the linear increase in displaceme...