What does factorizing with the Highest Common Factor means?
Factorizing expression is the reverse process of expanding brackets.
To factor, an expression simply means that you have to :
1. Put it in brackets by removing the common factors.
2. Find the highest factor in the given expression.
3. Fill in each term in the bracket by multiplying out.
Factorizing expressions was said to be founded by an ancient Greek mathematicians that proved the fundamental theorem of arithmetic.
Factoring expression can be used in the real world to divide things into equal pieces, understanding time and making calculations during travel, and many more useful things.
Factorizing an expression can be done using two methods; These methods are called:
Highest Common Factor and Difference of Two squares method.
The HCF method is when you use the "Highest Common Factor" (HCF) to fill in each terms in the bracket by multiplying out.
The Difference of two square methods is when two squares is being subtracted from each other and when factored it can be seen in the foil method format.
If you want to get a more detailed explanation on how to use this method and how to use the other method you can feel free to check out our pages on this blog titled:
"STEP BY STEP GUIDE ON HOW TO FACTORIZE USING THE HCF METHOD + DIAGRAMS"
AND
"STEP BY STEP GUIDE ON HOW TO FACTORIZE USING THE DIFFERENCES OF TWO SQUARES METHOD + DIAGRAMS"
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