2022 AMC 10B Problems/Problem 7
Using Vieta's Formula, this states:
(Let
and
be the roots)
This shows that p and q must be the factors of
:
and its negative counterpart.
We cancel out the
and
because the problem states that it wants distinct roots.
Thus, we have a total of
pairs and another
pairs (the negatives), which total us
.
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