When the polynomial f(x)=a x^2+b x+c is divided by x, x-2 and x+3, remainders obtained are 7 , 9 ...

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Counter-Strike: Source
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Counter-Strike: Source (2004)
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When the polynomial f(x)=a x^2+b x+c is divided by x, x-2 and x+3, remainders obtained are 7 , 9 and 49 respectively. Find the value of 3 a+5 b +2 c.
(a) -2
(b) 2
(c) 5
(d) -5

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