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Factorising
 find common factors
 find 2 numbers which multiply to give c and add to give b

Splitting the Middle term!
(a,b,c are integers)
 1. find ac
 2. find 2 numbers (p&q)
 pq=ac
 p+q=b
 3. use p&q to split middle term
 arrange into bracket by taking out common factor! (same bracket =1st bracket outside numbers =2nd bracket)

Solving equations by factorisation!
 factorise the question into brackets
 p and q equal the roots of the graph
 if both brackets are the same the graph only touches its root.

Complete the square
 1. Halve the middle term
 2. put this in a bracket with x and square the bracket
 3. compare expanded form with what is required and adjust

Solving linear inequalities
solve the same way as an equation!
if you divide or multiply by a negative flip the sign!
you cant square or root both sides of an inequality!

