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The first thing to do is find the factors of 6. These are 1, 2, 3 and 6. They can be paired up as 1 and 6, and 2 and 3. One of the numbers in the pair has to be negative, because they need to multiply to make -6. Also, because they need to sum to plus 1 (and one is negative) we need the factor pair that has a difference of 1. Thus the answer has to be 3 and -2.

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Q: Whose product is -6 and whose sum is plus 1?
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