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Representing Real-Life Scenarios with Quadratic Functions

Learn how quadratic functions represent real-life scenarios and explore special products when factoring quadratics. Practice solving word problems involving perfect squares and special cases.

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Representing Real-Life Scenarios with Quadratic Functions

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  1. Questions over hw?

  2. Skills Check Factor. 1. x2 + 2x – 15 2. x2 + 14x + 24 3. 2x2 + 6x – 36 4. 3x2 + 13x + 4 5. 4x2 + 16x + 15

  3. EOCT Practice Question of the Day

  4. CCGPS GeometryDay 48 (10-18-13) UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s Question: What are special products when factoring quadratics? Standard: MCC9-12.A.SSE.3a

  5. Difference of Two Perfect Squares

  6. Difference of Squares A binomial with a subtraction sign in between terms that are both PERFECT SQUARES

  7. To Factor Difference of Squares • One parenthesis is a plus and one is a minus. • Take the square root of each term.

  8. Example

  9. Example

  10. Example

  11. Example

  12. Example

  13. Perfect Square Trinomials • These are special too, but can be done using our usual method of factoring trinomials

  14. Example

  15. Example

  16. 8. Factoring Special Cases:Word Problems A square piece of cloth must be cut to make a tablecloth. The area needed is (16x2– 24x + 9) in2. The dimensions of the cloth are of the form cx – d, where c and d are whole numbers. Find an expression for the perimeter of the cloth. Find the perimeter when x = 11 inches.

  17. 9. Factoring Special Cases:Word Problems A company produces square sheets of aluminum, each of which has an area of (9x2 + 6x + 1) m2. The side length of each sheet is in the form cx + d, where c and d are whole numbers. Find an expression in terms of x for the perimeter of a sheet. Find the perimeter when x = 3 m.

  18. Classwork SPW 13.9

  19. Homework Review Sheet

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