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MathNet 2005 — Part 03 Question 26

Math Olympiad Vault · MathNet 2005 — Part 03

Question 26

How many second degree $p(x)$ polynomials are there, with integer coefficients and 2 integer roots, such that $p(8)=1$ ? (Note: remember that integers can be positive, negative or zero)


(A) 1

(B) 2

(C) 3

(D) a finite number greater than 3

(E) infinite.