If P(x) is a cubic polynomial with P(1)=3,P(0)=2 and P(-1)=4, then `underset(-1)overset(1)fP(x)dx` is

If P(x) is a polynomial such that P(x^(2)+1)={P(x)}^(2)+1 and P(0)=0, then P'(0) is equal to

If P(x) is a polynomial such that P(x^(2)+1)={P(x)}^(2)+1 and P(0)=0, then P'(0) is equal to

A cubic polynomial P is such that P(1) = 1, P(2) = 2, P(3) = 3 and P(4) = 5. Then P(6) is

If p(x) is a polynomial such that p(x^2+1)={p(x)}^2+1 and p(0)=0 then p^1(0) is equal to

If P (x) is a polynomial of 2nd degree and P (2) =-1, P'(2) =0 and p''(2)=2 then P'(1)=

A cubic polynomial p(x) is such that p(1)=1,p(2)=2,p(3)=3 and p(4)=5 then the value of p(6) is

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

Let P(x) be a real polynomial of degree 3 which vanishes at x=-3. Let P(x) have local minima at x=1, local maximum at x=-1 and underset(-1)overset(1)int P(x)dx=-18 , then the sum of all the coefficients of the polynomical P(x) is equal to........