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9.5 Factoring to Solve Quadratic Equations Day 2

9.5 Factoring to Solve Quadratic Equations Day 2. Objective: SWBAT solve a quadratic equation by factoring or completing the square. Bell Work. 1. What are steps to Solve Quadratic Equations by Factoring? 2. Solve x 2 + 48 = 8 3. Solve (x – 3)(x – 4) = 0 4. Graph. Overview.

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9.5 Factoring to Solve Quadratic Equations Day 2

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  1. 9.5 Factoring to Solve Quadratic Equations Day 2 Objective: SWBAT solve a quadratic equation by factoring or completing the square.

  2. Bell Work 1. What are steps to Solve Quadratic Equations by Factoring? 2. Solve x2 + 48 = 8 3. Solve (x – 3)(x – 4) = 0 4. Graph

  3. Overview So far…You’ve learned how to solve a quadratic equation by graphing …by taking the square root (when b = 0) Solve Quadratic Equation • In factored form Today you will practice how to… • By factoring (x + 2)(x – 3) = 0

  4. Solving Quadratic Equations by Factoring Steps: • Set equal to 0 (ax2 + bx + c = 0) • Factor the polynomial ax2 + bx + c into ( )( ) • Set each one ( ) = 0 • Solve for “x”

  5. Factor First! Solve x2 + 8x + 12 = 0 (x + 2) (x + 6) = 0 x + 2 = 0 x = -2 x + 6=0 x = -6

  6. Standard Form than Factor! Solve 6y2 + 12y + 13 = 2y2 + 4 4y2 + 12y + 9 =0 (2x + 3) (2x + 3) = 0 2x + 3 = 0 2x = -3 x = -3 2 2x + 3=0 2x = -3 x = -3 2

  7. Practice Problems Solve 6. x2 – 16x + 55 = 0 7. t2 – 3t = 28 8. 3q2 + 16q = -5 9. 4x2 = 25 x = 5, x = 11 x = -4, x = 7 x = -5, x = -1/3 x = -5/2, x = 5/2

  8. Wrap Up Solving Quadratic Equations • Set = 0 • Factor into ( )( ) • ( ) = 0 • Solve for “x” HW: P. 454 #1-21 odd, 27-31 odd, 60 Write DLIQ for notes

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