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# 4.3.3 find x intercepts by factoring

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### 4.3.3 find x intercepts by factoring

1. 1.  The x-intercepts on a graph occur at the values of x where y = 0.  To find the x-intercepts from the equation, let y = 0 and solve.
2. 2. 2 5 24y x x   2 0 5 24x x     0 8 3x x    0 8x   0 3x  8, 3x      8, 0 , 3,0
3. 3. 2 5 24y x x   30 20 10 -10 -20 -30 -5 5 10  3,0  8, 0
4. 4. 2 42y x x   2 0 42x x     0 7 6x x    0 7x   0 6x  7, 6x      7,0 , 6, 0
5. 5. 2 3y x x  2 0 3x x   0 3x x  0 x  0 3x  0, 3x      0,0 , 3,0
6. 6.  2x   5x If the area of the rectangle is 8, what is the value of x? A l w    8 2 5x x   2 8 3 10x x   2 0 3 18x x     0 6 3x x   6, 3x   3x 
7. 7.  3x  7x  x If the area of the trapezoid is 36, what is the value of x?  1 2 1 2 A b b h    1 36 3 7 2 x x x      1 36 2 10 2 x x   36 5x x  2 36 5x x  2 0 5 36x x     0 9 4x x   9, 4x   4x 
8. 8. A rectangular area 6 feet by 9 feet was roped off for the dunking booth at the spring fling last year. Due to the popularity of the booth, student council has decided to double the area by increasing the length and width by the same amount each. How much should the dimensions be increased?
9. 9. 6 9 x x  9x  6x 
10. 10.   6 9 108x x   2 15 54 108x x   2 15 54 108 108 108 x x     2 15 54 0x x     18 3 0x x   18, 3x  
11. 11. p. 256 # 42 - 54, 59 - 62, 65 - 70