Find the number of quadratic polynomials, \(ax^2 + bx + c\), which satisfy the following conditions :

(a) a,b,c are distinct;

(b) a,b,c \( \in \{1,2,3,...,1999\} \)

(c) \(x + 1\) divides \(ax^2 + bx + c\)

Find the number of quadratic polynomials, \(ax^2 + bx + c\), which satisfy the following conditions :

(a) a,b,c are distinct;

(b) a,b,c \( \in \{1,2,3,...,1999\} \)

(c) \(x + 1\) divides \(ax^2 + bx + c\)

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TopNewestHint:You are asked to find sets that satisfy \( a - b + c = 0 \).Hint:Ignore condition 1 for now. – Calvin Lin Staff · 1 year, 1 month agoLog in to reply

– Dev Sharma · 1 year, 1 month ago

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Sum over all possibilities of \(b\).

Then, account for condition 1. – Calvin Lin Staff · 1 year, 1 month ago

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