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Example: <math>a^2-3ab+4ac-12bc</math><br />
'''Step 1''' Split the polynomial into groups of 2 terms.<br />
<math>(a^2-3ab)+(4ac-12bc)</math><br />
'''Step 2''' Find the GCF (greatest common factor) of each group.<br />
<math>a(a-3b)+4c(a-3b)</math><br />
'''Step 3''' If the 'leftovers match' factor them out.<br />
<math>(a-3b)(a+4c)</math><br /><br />
Therefore <math>a^2-3ab+4ac-12bc=(a-3b)(a+4c)</math><br /><br /><br />
==When nothing works==
If the polynomial can't be factored, then it is considered '''prime'''.
==References==
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