2022 AMC 12B Problem 4
Attempt Problem 4 of the 2022 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2022 AMC 12B solutions, or check the answer key.
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4.
For how many values of the constant will the polynomial have two distinct integer roots?
Answer: B
Solution:
If the roots are integers and then and Distinct roots must have the same sign, so we list factor pairs of with
The positive pairs are and the negative pairs are The pair is excluded since the roots must be distinct.
Each of these pairs gives a different value of
Thus, the correct answer is B.
Problem 4 in Other Years
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