Question

"Let \\( a , b , c , \\ell , m , n \\in R \\) such that \\( a \\) t \\( b m + c n = 0 , b \\ell + c m + a n = 0 , c \\ell + a m + b n = 0 , \\) If \\( a , b \\& c \\) are distinct \\( \\& f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + 5 \\)\nthen the value of \\( \\frac { f ( 1 ) } { 4 } \\) is"

Answer 1