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Lesson 5 Day 2 The Zero Product Property.notebook DO NOWFactor December 08, 2016 Homework Answers 4) 9x 25 6 1) x2 49x 1) {0, 8} 2) {5, 3} 2) x2 5x 6 3) {7, 8} 5) 4x2 + 25x4 4) {1/7, 1/7} 5) {4, 4} 3) 3x2 + 6x 72 6) 2x2 98 The Zero Product Property Day 2 Standard: A.SSE.2 A.CED.1 Procedure to Solve Quadratic Equations: 1) Set equation = 0 2) Factor completely 3) Set each factor=0 in a "T" chart. 6) {2, 0, 3} Quadratic equation: polynomial equation of degree 2 Standard form: ax2 + bx + c = 0 (where a, b, and c are real numbers and a≠0) Quadratic equations can be solved by factoring. Equation must be = 0 before it can be solved! Solve for x: x2 - x - 6 = 0 1. Factor completely (x + 2) (x - 3) = 0 2. Set each factor=0 (x + 2) (x - 3) = 0 in "T" chart. x+2=0 x-3=0 -2 -2 +3 +3 3. Solve each equation x = -2 x=3 4) Solve each equation in the chart. 5) Write solution in braces { }. (called roots) 4. List solution {-2, 3} 6) Check each solution. 1 Lesson 5 Day 2 The Zero Product Property.notebook 6. Check Solve for x: Rewrite original equation x2 - x - 6 = 0 x = -2 x=3 ? ? 2 (-2)2-(-2)-6 = 0 (3) -(3)-6 = 0 ? ? Substitute 4+2-6=0 9-3-6=0 0≡0 0≡0 Solve 1) x2 + 3x = 0 2) x2 + 6x + 8 = 0 3) x2 - 36 = 0 4) 3c2 - 3c - 36 = 0 5) x2 + 2x = -1 December 08, 2016 2 Lesson 5 Day 2 The Zero Product Property.notebook 6) x2 = 100 7) 2z2 - 8z = 24 8) 6x2 = 24 9) 3x2 = 27 10) 84 - 16x = 4x2 11) x(x + 3) = 40 December 08, 2016 3 Lesson 5 Day 2 The Zero Product Property.notebook December 08, 2016 12) 5x(x +5) = -30 Homework Worksheet 4