how to factorise... factorise simply means introducing brackets.

for example, the equation; 4 x to the power of 2 + 12 will be factorised to 4(x to the power of 2 + 3) the three has been introduced because 3 x 4 = to 12.

equations which need two brackets, are simpler factorised;

x to the power of 2 + bx + c

this is how the factorising should look like, (x + p) (x + q),

p and q multiplied will give c and added will give b.

for example; x to the power of 2 – 5x + 6

6 is c, so therefore find all the pairs which are multiplied to get c. which are 2 and 3, 1 and 6, -2 and -3, -1 and -6, then from these you need to find which also adds up to make b. which is -2 and -3 = -5. therefore (x - 2) (x - 3) is your answer.

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