Question

What multiplies to get 14 and adds to get -9

Answer 1

Hi. I  begin by finding the positive factors of 14. They are: 1 x 14 and 2 x 7. None of those can be added to yield a negative number, so let's now instead consider their negatives: -1 x -14 and -2 x -7. Does either of these pairs, when added, yield -9? Yes: -2 and -7.

To be clear: -2 x -7 = 14; and -2 + -7 = -9.

So the answer is -2 and -7.