Let `P(x)` be a polynomial of degree 11 such that `P(x)=(1)/(x+1),` for `x=0,1,2,...11.` The value of `P(12)` is

Let P(x) be a polynomial of degree 11 such that P(x) = (1)/(x + 1) for x = 0, 1, 2, 3,"…."11 . The value of P(12) is.

Let P(x) be a polynomial of degree 11 such that P(x) = (1)/(x + 1) for x = 0, 1, 2, 3,"…."11 . The value of P(12) is.

Let P(x) be a polynomial of degree 4 such that p(1)=p(5)=p'(7)=0 If the real number x!=1,3,5 is such that p(x)=0 can be expressed as x=(p)/(q) where p and q are relatively prime then (p+q) equals to

If P (x) is polynomial of degree 2 and P(3)=0,P'(0)=1,P''(2)=2," then "p(x)=

If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2) =P(0)=P (2) =2 find the maximum vaue of P (x).

If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2) =P(0)=P (2) =2 find the maximum vaue of P (x).

Let p(x) be a polynomial of degree 5 having extremum at x=-1,1 and lim_(x rarr0)((P(x))/(x^(3))-1)=7 .The value of |P(2)| is

Let p(x)be a polynomial of degree 4 having extremum at x = 1,2 and lim_(xrarr0)(1+(p(x))/x^2)=2 Then the value of p(2) is

Let P(x)=P(0)+P(1)x+P(2)x^(2) be a polynomial such that P(-1)=1 ,then P(3) is :