11r u sure about the (a) and (b)
i am having the whole real line 4 them
please mention the missing conditions(iff any)
Find the number of quadratic polynomials ax^2+bx+c which satisfy the following simultaneously:
(a) a,b,c are distinct;
(b) a,b,c\in \left\{ 1,2,3,4.............. 2009\right\};
(c)(x+1) divides ax^2+bx+c
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7 Answers
11
1Old RMO question.
Asks essentially to find no of solution of a+c=b from the set {1,2,...,2009}.
Check in each case for no of solution like following:
for a=1, c=2,3,...,2008
for a=2, c=1,3,...,2007
for a=3, c=1,2,...,2006
...
...
1yeah,i just modified it a bit,ur method is right,fixing b and finding no of pairs (a,c) ,post ur answer
1ur answer comes out to be 2008*1004
and i was getting 2016032
hmm
yep 2016032=2008*1004
u r right