More Exponent Shortcuts Factor Solve Polynomials More Polynomials Slides: 51 Download presentation More Exponent Shortcuts Factor & Solve Polynomials More Polynomials & Polynomials Word Problems 100 100 200 200 200 400 300 300 600 400 400 800 500 500 1000 (1, 100) (1, 100 A) (8 x 3 yz 4)2 (1, 200) 64 x 6 y 2 z 8 (1, 200 A) (1, 300) (1, 300 A) (-2 xy 3)2(-3 x 2 y 2)3 (1, 400) -108 x 8 y 12 (1, 400 A) (1, 500) (1, 500 A) (3 n 2)(4 n 5) (2, 100) 12 n 7 (2, 100 A) (2, 200) (2, 200 A) (5 xyz-4)(3 x 2 y 3 z 5) (2, 300) 15 x 3 y 4 z (2, 300 A) (2, 400) (2, 400 A) (2, 500) (2, 500 A) Factor and solve the polynomial 4 x 2 - 12 x + 9 = 0 (3, 100) x = 3/2 (3, 100 A) Factor the polynomial 6 x 3 + 5 x 2 - 4 x = 0 (3, 200) x = {0, 1/2, -4/3} (3, 200 A) Solve the polynomial 2 x 3 = 98 x (3, 300) x = {0, 7, -7} (3, 300 A) Factor the polynomial 2 x 3 + x 2 - 6 x - 3 (3, 400) (x 2 - 3)(2 x + 1) (3, 400 A) Factor the polynomial x 3 + 5 x 2 - 4 x - 20 (3, 500) (x + 2)(x - 2)(x + 5) (3, 500 A) Factor and solve the polynomial 3 x 2 + 48 x = -192 (4, 100) x = -8 (4, 100 A) Solve the polynomial 14 x 2 + 6 x = -4 x 3 (4, 200) x = {0, -3, -1/2} (4, 200 A) Factor the polynomial x 3 + x 2 - 3 x - 3 (4, 300) (x 2 - 3)(x + 1) (4, 300 A) Factor and solve the polynomial 6 x 2 + 121 = 55 x (4, 400) x = {11/2, 11/3} (4, 400 A) Factor the polynomial x 3 - 3 x 2 - 4 x + 12 (4, 500) (x + 2)(x - 3) (4, 500 A) Eight more than the square of a number is six times the number. (5, 100) n = {2, 4} (5, 100 A) If you subtract a number from four times its square, the result is three. (5, 200) x = {1, -3/4} (5, 200 A) The product of two consecutive integers is 182. (5, 300) x = {13, -14} The consecutive integers are 13 and 14 or -14 and -13. (5, 300 A) The product of two consecutive odd integers is 255. (5, 400) x = {15, -17} The consecutive integers are 15 and 17 or -17 and -15. (5, 400 A) If the sides of a square lengthened by 3 meters, the area becomes 81 square meters. Find the length of a side of the original square. (5, 500) 6 meters or -12 meters (5, 500 A)