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8.7 Factoring Special Cases

8.7 Factoring Special Cases. Objective: SWBAT factor polynomials with a combination of greatest common factors (GCF) and polynomial factoring. Mini Quiz 9. 1. Solve 2. Factor. CAHSEE Review. Overview. Factoring Completely (Multiple Times) Factor GCF Factor into ( ) ( )

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8.7 Factoring Special Cases

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  1. 8.7 Factoring Special Cases Objective: SWBAT factor polynomials with a combination of greatest common factors (GCF) and polynomial factoring.

  2. Mini Quiz 9 1. Solve 2. Factor

  3. CAHSEE Review

  4. Overview Factoring Completely (Multiple Times) • Factor GCF • Factor into ( ) ( ) • Check each ( ) for difference of square

  5. Factor Completely 1. Factor 8x3 + 28x2 +24x 4x(2x2 + 7x + 6) 4x(2x + 3)(x + 2) Steps: • Factor GCF • Factor ( )( )

  6. Factor Completely 2. Factor 45x4 – 20x2 5x2(9x2 – 4) 5x2(3x + 2)(3x – 2)

  7. Factor Completely 3. 37g8 – 37h8 37(g8 – h8) 37(g4 + h4)(g4 – h4) 37(g4 + h4)(g2 + h2)(g2 – h2) 37(g4 + h4)(g2 + h2)(g + h)(g – h)

  8. Difference of Squares  Check for: • b = 0 • minus sign • A and C have square roots ( )

  9. Practice Problems 4. 8x3 – 18x 5. 2y2 – 8y – 10 6. x4 – 16 7. m3 + 3m2 – 4m 8. 16x8 – 81y16 2x(2x – 3)(2x + 3) 2(y + 1)(y – 5) (x2 + 4)(x + 2)(x – 2) m(m – 1)(m + 4) (4x4 + 9y8)(2x2 + 3y4)(2x2 – 3y4)

  10. Wrap Up Factoring Completely (Multiple Times) • Factor GCF # ( ) • Factor into ( ) ( ) • Check each ( ) for difference of square xeven – “squared” HW: P. 408 #57-65 odd; P. 409 #1-10all DLUQ: For a problem to be a difference if square, what sign is in the middle?

  11. Mini Quiz 10 1. 2. 35 11 in

  12. CAHSEE Review

  13. Mini Quiz 11 1. 2.

  14. CAHSEE Review

  15. Mini Quiz 12 1. 2.

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