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Mastering Polynomial Factoring Techniques with Examples

This comprehensive guide covers factoring polynomials, sum and difference of cubes, and grouping methods. Learn to factor efficiently using various techniques illustrated with examples. Suitable for students seeking to enhance their factoring skills.

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Mastering Polynomial Factoring Techniques with Examples

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  1. Review 2 3 2 1.)-6x ( x + 7x - 4x + 3) 2.) (p + q) ( 4p - p – 8q - q) 2 2

  2. 3.) 5( x - 2y ) 2 3 3

  3. 3 2 4.) 2x + 1 4x + 6x + 3x Long Division

  4. 2 6.) (x - 8x + 6) / (x + 2)

  5. Factoring Goal – Students will be able to factor polynomials.

  6. Factoring the sum & difference of two cubes Sum of Two cubes a + b = (a + b) ( a - ab + b ) Difference of two cubes a - b = (a – b) (a + ab + b ) 3 2 2 3 2 2

  7. Example 3 • 125 + z

  8. Factoring by grouping 3 2 8y - 4y - 50y + 25

  9. Determine whether the given binomial is a factor of the polynomial P(x). (x – 8); p(x) = x - 8x + 8x - 64 4 5

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