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Factoring

Factoring Polynomials. 11/5/2014. Factoring. Objective: factor a quadratic expression where the a term does not equal one.

laurel-salas
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Factoring

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  1. Factoring Polynomials 11/5/2014 Factoring Objective: factor a quadratic expression where the a term does not equal one. Students apply basic factoring techniques to second-and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.

  2. Notes • Magic X Ex. Ex. Ex. Ex. Ex. Ex.

  3. Notes • Steps for Factoring a Quadratic Equation 1) Factor out the GCF (if possible) 2) Set up the Magic X. • ac goes on top, and b goes on bottom • Find the pair that multiplies to equal the top, and adds up to equal the bottom. 3) Set up the Magic T. • Put ax on the top two, and the pair we found for the bottom two. • Treat each side as a fraction and reduce if possible 4) You now have your factors.

  4. Notes Factor. Ex. 1) Factor out GCF. 2) Magic X. - What pair multiplies to equal top and adds to equal the bottom? 3) Magic T. - Reduce? 4) You now have your factors.

  5. Notes Factor. Ex. 1) Factor out GCF. 2) Magic X. - What pair multiplies to equal top and adds to equal the bottom? 3) Magic T. - Reduce? 4) You now have your factors.

  6. Notes Now you try. Factor. Ex. 1) Factor out GCF. 2) Magic X. - What pair multiplies to equal top and adds to equal the bottom? 3) Magic T. - Reduce? 4) You now have your factors.

  7. Notes Factor. Ex. 1) Factor out GCF. 2) Magic X. - What pair multiplies to equal top and adds to equal the bottom? 3) Magic T. - Reduce? 4) You now have your factors.

  8. Notes Factor. Ex. 1) Factor out GCF. 2) Magic X. - What pair multiplies to equal top and adds to equal the bottom? 3) Magic T. - Reduce? 4) You now have your factors.

  9. Notes Now you try. Factor. Ex. 1) Factor out GCF. 2) Magic X. - What pair multiplies to equal top and adds to equal the bottom? 3) Magic T. - Reduce? 4) You now have your factors.

  10. Summary To factor a quadratic first set up the Magic __. On top multiply ac and on _______ put b. Now find a pair of numbers that ________ to equal the top and ____ to equal the bottom. Next set up your ______ T. Put ax on the top and put your pair on the bottom. Reduce if possible. X bottom multiply Magic add

  11. Ticket Out the Door Complete the Ticket Out the Door without talking!!!!! Talking = time after the bell! Put your NAME on the paper. When finished, turn your paper face DOWN. Factor.

  12. Today’s Homework Rules for Homework • Pencil ONLY. • Must show all of your work. • NO WORK = NO CREDIT • Must attempt EVERY problem. • Always check your answers.

  13. Homework Factor.

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