More Exponent Shortcuts Factor Solve Polynomials More Polynomials
- Slides: 51
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)
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