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Let f(x) = x^3 - 6x^2 + 11x - 6.

Try x = 1：   f(1) = 1 - 6 + 11 - 6 = 0

So x - 1 is a factot of f(x).

Try x = 2：   f(2) = 8 - 24 + 22 -...

First, we need to recall 2 basic definitions of vector operations:

The dot product is defined on vectors u=[u₁, u₂,...u_n] and v...

The chain rule is used when you're trying to differentiate a complicated function, and it allows you to split up the function into easier ones. The trick is spotting where to split the function, and what ...

I have A* in Maths and Further Maths at A-level, and have tutored students in A-level maths for a year.