Search over 10,000 free study notes

If the roots of this cubic equation are a, b and c, then the equation can be written(z - a)(z - b)(z - c) = 0multiplying this out gives:z^3 - az^2 - bz^2 - cz^2 + abz + acz + bcz - abcgrouping terms with ...

Proof by induction involves making an assumption, and using that assumption to prove that the consecutive case follows the pattern. 

The key to this is realising that most questions follo...

A complex number is a number that consists of two parts, a real part, like any number you have been dealing with since you started learning maths, and an imaginary number, often tagged along with a i or a...

Mathematical induction is a way of proving statements in maths. The principle is quite similar to dominoes (not pizza, the game) - if you push the first one, the second one will be pushed over, pushing th...

C1, C2, C3, C4

D1

FP1, FP2, FP3

M1, M2

S1, S2