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For grouping first you have to see if there is a GCF. Then create smaller groups within the problem (first two terms together and last two) Factor out the GCF of the two groups. If the factors in the parenthesus are the exact same that is good.
x³-5x²+3x-15 x²(x-5)+ 3(x-5) (x-5) (x²+3)
6x2 +x-2 6x2 -3x+4x-2 (2x-1) (3x+2)
x 3 -5x2 +3x-15 x2 (x-5)+3(x-5) (x-5) (x2 +3)
To factor by grouping you have to have four numbers. Create smaller groups, then factor out the GCF. If the two signs are the same you can factor a positive number, if they are different it is usually a negative.
To factor a trinomial you have to make sure the trinomial is written in the write order. Decide if any of the terms have a GCF. List factors of the term. Rewrite the oringinal problem and make sure you have all four terms. Now you can factor by grouping.
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