NAME DATE PERIOD 4-3 Practice Solving Quadratic Equations by Factoring Write a quadratie equation in standard form with the given root). 1.7.2 2.0.3 3.-5.8 x - 9x + 14 = 0 x - 3x = 0 x2-3x - 40 = 0 4.-7.-8 x + 15x + 56 = 0 5.-6.-3 *? + 9x + 18 = 0 6.3.-4 x + x - 12 = 0 8. 2 9.0.- 2x + 7x = 0 3x - 7x + 2 = 0 2x - 3x + 1 = 0 Factor each polynomial. 10. + 3 - 54 (r + 9)(r - 6) 13. ' + 8 (x + 2)(x2 - 2x + 4) 12. - 49 (c-7)(c + 7) 11. 8a + 2a - 6 2(48 - 3)(a + 1) 14. 16. 169 (4r + 13)(4r - 13) 15. b-81 (b? + 9)(b + 3)(b - 3) Solve each equation by factoring. 16.x - 4x - 12 -0 (6-2) 18.x - 6x + 8 = 0 (2.4) 20.x - 4x = 0 (0.4) 17. x' - 16x + 64 = 0 {8} 19.x + 3x + 2-0 (-2,-1) 21.7x42 23.x - 2x + 99 (-9, 11) 25. Sir! - 35x + 60 - (3,4} 27.2 - 8x - 90 - 09.-5) {0.4} 22. 10x * {*} 24. + 12x-36 {-6) 26.3625 28. NUMBER THEORY Find two consecutive even positive integers whose product is 624 24, 26 29. NUMBER THEORY Find two consecutive odd positive integers whose product i* 323 17, 19 30. GEOMETRY The length of a rectangle is 2 feet more than its width. Find the dimensions of the rectangle if its area is 63 square feet. 7 ft by 9 ft 31. PHOTOGRAPHY The length and width of a 6-inch by 8-inch photograph are reduced by the same amount to make a new photograph whose area is half that of the original By how many inches will the dimensions of the photograph have to be reduced 2 in. 20 Glencoe pabra 2