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Warm Up

Warm Up. Factor the following quadratic expressions . 4x 2 + 32x x 2 + 12x + 20 x 2 – 16 2x 2 + 5x – 3. HW Check. 9. Line of symmetry: x = 3.5; vertex (3.5, -0.25) v = 3, 4 10. Line of symmetry: x = -3 vertex (-3, -25) n = 2, -8 11. Line of symmetry: x = -1.5

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Warm Up

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  1. Warm Up Factor the following quadratic expressions. • 4x2 + 32x • x2 + 12x + 20 • x2 – 16 • 2x2 + 5x – 3

  2. HW Check 9. Line of symmetry: x = 3.5; vertex (3.5, -0.25) v = 3, 4 10. Line of symmetry: x = -3 vertex (-3, -25) n = 2, -8 11. Line of symmetry: x = -1.5 vertex: (-1.5, -0.25) r = -1, -2 12. Line of symmetry: x = -0.5 vertex: (-0.5, -2.25) b = -2, 1 5. Line of symmetry: k = 5.5; vertex (5.5, -18.75) k = 3, 8 6. Line of symmetry: x = -4.5; vertex (-4.5, -2.25) n = -3, -6 7. Line of symmetry: x = -2.5; vertex (-2.5, -85.75) v = 1, -6 8. Line of symmetry: x = -2; vertex (-2, 0) k = -2

  3. HW Check 17. Line of symmetry: x = -2.86 vertex (-2.86, -32.14) a = -0.714, -5 18. Line of symmetry: x = 0.986 vertex (0.986, -6.01) x = 0.571, 1.4 13. Line of symmetry: x = 3.25 vertex (3.25, -140.625) n = -0.5, 7 14. Line of symmetry: x = 1.33 vertex (1.33, -21.33) x = -1.33, 4 15. Line of symmetry: x = 3.5625 vertex (3.5625, -189.06) n = 0.125, 7 16. Line of symmetry: x = -3.28 vertex (-3.28, -206.29) n = -0.57, -6

  4. Unit 7 Day 2 Solving Quadratic Equations by Factoring

  5. Teach me how to Factor… • GCF (Greatest Common Factor) • Ex: 3x2 - 18x • Difference of Squares • Ex: x2 - 81 • Trinomals where a = 1 • Ex: x2 + 4x - 12 • Trinomials where a does not equal 1 • Ex: 3x2 + 14x - 5

  6. Steps to Solve by Factoring: Step 1: Set the equation equal to zero (arrange in standard form) Step 2: Factor Completely! Step 3: ZPP! Step 4: Solve each equation.

  7. Example 1: Solving by Factoring Step 1) Write in standard form. Step 2) Factor. Step 3) Use the Zero-Product Property. Step 4) Solve for x.

  8. Example 2: Solving by Factoring Step 1) Write in standard form. Step 2) Factor. Step 3) Use the Zero-Product Property. Step 4) Solve for x.

  9. Example 3: Solving by Factoring Example 4: Solving by Factoring

  10. Example 5: Solve by Factoring x2 = 49

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