Factoring by GCF CA 11.0.

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Presentation transcript:

Factoring by GCF CA 11.0

Objective - To factor a polynomial by finding the GCF

Factoring by Grouping If a polynomial has four terms: first put it in STANDARD FORM create groups of two find the GCF and leftovers for each group factor out a common binomial factor

Factoring by Grouping 12a3 - 9a2 + 20a - 15 3a2(4a - 3) + 5(4a - 3)

Try this! 9x3 + 18x2 + x + 2

Factoring with Opposites OPPOSITES have the same absolute value but different signs. Examples: 3 and –3 x and –x (x – 5) and (5 – x)

Factoring with Opposites 3x3 - 15x2 + 10 - 2x 3x2(x - 5) + 2(5 - x) 3x2(x - 5) + 2 (-1)(x - 5) 3x2(x - 5) – 2(x - 5) (x - 5)(3x2 - 2)

Try this! 15x2 - 10x3 + 8x - 12