Consider the quadratic polynomial 'f(x)=...

Consider the quadratic polynomial 'f(x)=x^(2)-px+q' where 'f(x)=0' has prime roots alpha and beta and 'p=alpha+beta' , 'q=alpha beta' .If 'p+q=11' and 'a=p^(2)+q^(2)' then find the value of 'f(a)/100' where a is an odd positive integer.

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