Binomial Theorem

Let R denote the set of all real numbers. Consider the polynomial function f: R R defined by f(x)= d10dx10 ((x2-1)10 ), for all x R. Here d10dx10 ((x2-1)10 ) is the 10th order derivative of the function (x2-1)10. Then which of the following statements is (are) TRUE ?

1. The coefficient of x8 in the polynomial f(x) is (-10) ( 18!8! )
2. The value of f(1)+f(-1) is equal to 10! 211
3. The degree of the polynomial f(x) is 10
4. The constant term of the polynomial f(x) is - ( 10!5! )

Let a0,a1, ,a23 be real numbers such that (1+ 25x )23= i=023ai xi for every real number x. Let ar be the largest among the numbers aj for 0 j 23. Then the value of r is .