Polynomial 1,2,3.

Algebra Level 4

Let \(f\left( x \right) ={ x }^{ 4 }+a{ x }^{ 3 }+b{ x }^{ 2 }+cx+d\), for that \(a,b,c,d\) are constants. If \(f\left( 1 \right) =1993,\quad f(2)=3986,\quad f(3)=5979\). Calculate the value of \(\frac { 1 }{ 4 } [f(11)+f(-7)]\).