SOLUTION: What are all possible factors of: {{{ 3x^3 + 4x - 12 }}} A.) 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 B.) -1, -2, -3, -4, -6, 6, 9, 12, 18, 3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: What are all possible factors of: {{{ 3x^3 + 4x - 12 }}} A.) 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 B.) -1, -2, -3, -4, -6, 6, 9, 12, 18, 3      Log On


   

Question 1053758: What are all possible factors of: +3x%5E3+%2B+4x+-+12+
A.) 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36
B.) -1, -2, -3, -4, -6, 6, 9, 12, 18, 36
C.) 1, 2, 3, 4, 6, -6, -9, -12, -18, -36
D.) 1, -1, 2, -2, 3, -3, 1/3, -1/3, 2/3, -2/3, 4, -4, 4/3, -4/3, 6, -6, 12, -12
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Using Rational Roots Theorem, you may be able to eliminate some choices. You LOOK for the factors of p and of q in px%5E3%2Bax%5E2%2Bbx%2Bq; and you would find that the GREATEST SIZE factor would be q. Think through this and use the theroem; and see that you will eliminate choices A, B, and C. (That is, if abs%28q%29%3Eabs%28p%29.)