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Review…

Review…. 3 Steps of Factoring 1) Factor out the GCF (*if possible) 2) If you have a quadratic “undo the box” *OR GRAPH 3) Check your answer in the table. Quadratics. A polynomial with 2 as the highest exponent Ex: 2x 2 + 7x + 6 Q uadratics come from a 2-by-2 box!

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Review…

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  1. Review… • 3 Steps of Factoring 1) Factor out the GCF (*if possible) 2) If you have a quadratic “undo the box” *OR GRAPH 3) Check your answer in the table

  2. Quadratics • A polynomial with 2 as the highest exponent Ex: 2x2 + 7x + 6 • Quadratics come from a 2-by-2 box! (2x + 3)(x + 2) x 2 2x 3

  3. Quadratic? 1. 3x2 – 4x + 1 2. 2x3 + 4x2 – 6 3. 6x – y + 7 4. 5x2 – 4

  4. What are the Factoring Steps Again? 1) Factor out the GCF (*if possible) 2) If you have a quadratic “undo the box” *OR GRAPH 3) Check your answer in the table

  5. Un-doing the Box Factor:x2 + 7x + 10 (x + 2)(x + 5)

  6. Factor: 2x2 + 6x + 4 x2 3x 2 2( + + ) 2(x + 2)(x + 1)

  7. Factor: 4x3 + 8x2 + 4x 4x( + + ) x2 2x 1 4x(x + 1)(x + 1) 4x (x + 1)2

  8. x2 + 7x + 10 (x + 2)(x + 5)

  9. (x + 2)(x + 5) -2 and -5 are called the zeros…why?

  10. Write this down!!! ZEROS • X-intercepts • Make polynomial = 0 • Help you factor • You can have • Two zeros • Repeat zero • No zeros (prime)

  11. Two different zeros Double/Repeat zeros No Zeros (prime)

  12. Factor: 3x2 – 15x + 12 3(x2 – 5x + 4) {1 and 4} 3 (x – 1) (x – 4)

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