This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here is the completed table, assuming the goal is to find two integers r and s that multiply to -12 and sum to 1 (as is common for factoring x^2 + x - 12): | Factors of -12 | Product of the two factors | Sum of the two factors | Result | | :------------- | :------------------------- | :--------------------- | :----------------------------------- | | 1 and -12 | 1 × (-12) = -12 | 1 + (-12) = -11 | Product = -12 but sum ≠ 1 | | -1 and 12 | (-1) × 12 = -12 | (-1) + 12 = 11 | Product = -12 but sum ≠ 1 | | 2 and -6 | 2 × (-6) = -12 | 2 + (-6) = -4 | Product = -12 but sum ≠ 1 | | -2 and 6 | (-2) × 6 = -12 | (-2) + 6 = 4 | Product = -12 but sum ≠ 1 | | 3 and -4 | 3 × (-4) = -12 | 3 + (-4) = -1 | Product = -12 but sum ≠ 1 | | -3 and 4 | (-3) × 4 = -12 | (-3) + 4 = 1 | Product = -12 and sum = 1 | Based on the table, the two integers, r and s, that multiply to -12 and sum to 1 are -3 and 4. Last free one today — make it count tomorrow, or type /upgrade for unlimited.