(5x – 2)(x + 3) = 0 5x – 2 = 0 x + 3 = 0 x = -3 x = 2/5

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(5x – 2)(x + 3) = 0 5x – 2 = 0 x + 3 = 0 x = -3 x = 2/5 Warm-up: Solve: 5x2 + 13x – 6 = 0 a = 5 b = 13 c = -6 x 3 a·c -30 5x2 15x 5x X 15 -2 13 -2x -6 -2 b (5x – 2)(x + 3) = 0 5x – 2 = 0 x + 3 = 0 x = -3 x = 2/5

Agenda Warmup Check Homework Notes 7-4D Assignment

Lesson 7.4D Learning Target: Solving more polynomial equations with the X-box method.

-36 X 6 -6 (2x + 3)(2x – 3) = 0 4x2 6x -6x -9 x = -3/2, x = 3/2 EX 1: Solve 4x2 – 9 = 0 a = 4 b = 0 c = -9 Use the X-box: 2x 3 a·c 4x2 6x -36 2x X 6 -6 -6x -9 -3 b (2x + 3)(2x – 3) = 0 x = -3/2, x = 3/2

81 X -9 -9 -18 (x – 9)(x – 9) = (x – 9)2 x2 -9x -9x 81 EX 2: Factor: x2 - 18x + 81 Perfect square trinomial a = 1 b = -18 c = 81 Use the X-box: x -9 a·c x2 -9x 81 x X -9 -9 -9x 81 -18 -9 b (x – 9)(x – 9) = (x – 9)2

EX 2 cont. : now SOLVE x2 - 18x + 81=0

EX 3: Solve: 40x2 - 90 = 0 First factor out the GFC 10 10(4x2 – 9)= 0 Now use the X-box: 2x 3 a = 4 b = 0 c = 9 a·c 4x2 6x -36 2x X 6 -6 -6x -9 -3 b 10(2x + 3)(2x -3) = 0

10(2x + 3)(2x -3) = 0 2x + 3 = 0 2x - 3 = 0 x = -3/2 x = 3/2

ARE YOU A MASTER???? Solve 25x2 = 4 Solve: 9x2 + 6x + 1 = 0

25x2 – 4 = 0 X 10 -10 (5x + 2)(5x – 2) = 0 25x2 10x -100 -10x -4 Solve 25x2 = 4 25x2 – 4 = 0 a = 25 b = 0 c = -4 5x 2 a·c 25x2 10x -100 5x X 10 -10 -10x -4 -2 b (5x + 2)(5x – 2) = 0

(5x + 2)(5x – 2)=0 5x + 2 = 0 5x – 2 = 0 -2 -2 +2 +2 5x = -2 5x = 2 5 5 5 5 x = 2/5 x = -2/5

9 X 3 3 6 (3x + 1)(3x + 1) = 0 9x2 3x 3x 1 Solve: 9x2 + 6x + 1 = 0 3x a = 9 b = 6 c = 1 Use the X-box: 3x 1 a·c 9x2 3x 9 3x X 3 3 3x 1 6 1 b (3x + 1)(3x + 1) = 0

cont.: Solve: 9x2 + 6x + 1 = 0 (3x + 1)(3x + 1) = 0 (3x + 1) = 0 x = -1/3