14,28,42,56,70,84,98
119
5
-14 and -14 Add them together to get -28 Multiply them to get 196
X^2 - 9X + 14 = 0 what two factors of 14 add up to - 9 ? (X - 2)(X - 7) so, X = 2 X = 7
X^2 + 5X - 14 by inspection what two factors of - 14 add up to 5 ? (X + 7)(X - 2) X = - 7 X = 2
The 12-year, 14-year, and 16-year cicadas will all come up together again in 336 years (the least common multiple of 12, 14, and 16).
The factors of 14 are 1,2,7, and 14. The factors is 21 up to 14 and 1, 3, and 7. The common factors are 1 and 7.
Factors are normally positive and so the factors needed are 6 plus 8 = 14 but not -14
14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252,266, 280, 294, 308, 322, 336
47
119
34
They are 6, 10, 14, 18, 22, 26 and 30.
-38
They are 8 and 6
5
Pairs of numbers whose sum is -14 and that are factors of -189 include -7 and -7, and -21 and 7.