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Getting enough quotes memorised for the exam always seems like a huge task, but it's helpful to view quote-learning as similar to learning a language (but easier!): little and often is essentially the way...

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...

The goal of this exercise is to rewrite the sentence by starting it with the word between parenthesis. To achieve that properly we will break down this sentence in several pieces. But first of all we will...

Ice floats on water as it is less dense- due to lattice structure of water molecules in ice. This insulates the water below the ice, preventing it from freezing to ensure marine life has suitable temperat...