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Published byErik Tamás Modified over 5 years ago
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Warm-Up Factor: 1) 2x4y – 162y 2) 27x ) x2 + 25
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HW GCMF, Difference of Squares, Difference of CubesAnswers:
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Factoring! Objectives: To factor “special pattern” binomials
To factor by grouping
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Flowchart Let’s review what we have learned about how to approach factoring polynomials on our flowchart!
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Factoring: Polynomials
Now that we’ve exhausted the binomial possibilities, what’s next? Let’s check polynomials with four or more terms. As your flowchart indicates, this is best done by grouping.
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Factoring by Grouping Consider the polynomial below:
x3 + x2 + 2x + 2 = the entire polynomial does not have a GCF. if we group the first two terms together, and group the last two terms together, each grouping has a GCF that can be factored out.
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Factoring by Grouping Consider the polynomial below: x3 + x2 + 2x + 2 (x3 + x2) + (2x + 2) x2(x + 1) + 2(x + 1) (x + 1)(x2 + 2)
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Factoring by Grouping group terms that have a common factor together
factor out the GCF of each group. check that each factor is prime. (x + 1)(x2 + 2)
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Examples Factor. 2x3 + x2 + 32x + 16 x3 + 5x2 – 4x – 20
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Examples Factor. 3. ax + by + bx + ay 4. x3 + xy – 6y – 6x2
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Sneedlegrit: Factor. 3. 2x3 + 8x2 – 3x – 12
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CW: Factoring! HW: Finish CW
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