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Math
Algebra
Pre-Algebra
Factorising
Factorising
Factorising
is the opposite of expanding brackets
You need to look for the largest factors you can take out of every term in the expression
Factorising x^2 + bx + c
You need to write the expression with two brackets
x^2 + 7x + 10
You need to find two numbers which add up to 7 and multiply to make 10
5+2=7
5x2=10
When factorising x^2 + bx + x use this table to help find the two numbers
b
c
Factors
Positive
Positive
Both numbers positive
Positive
Negative
Bigger number positive and smaller number negative
Negative
Negative
Bigger number negative and smaller number positive
Negative
Positive
Both numbers negative
Factorising ax^2 + bx + x
One of the brackets must contain a ax term
Try pairs of numbers which have a product of c
Check each pair by multiplying out the brackets
Difference of two squares
You can factorise expression that are written as something^2 - something else^2
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