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).

P(x) is said to be a monic polynomial if its leading coefficient is 1. If P(x) is divided b (x-a) the remainder is given by P(a). If P(a) = 0 then (x-a) is called factor of P(x). If P(x) is a monic polynomial of degree 4 such that P(1) = P(2) = P(3) = P(4) = 2. The value of P(5) is

P(x) is said to be a monic polynomial if its leading coefficient is 1. If P(x) is divided b (x-a) the remainder is given by P(a). If P(a) = 0 then (x-a) is called factor of P(x). If P(x) is a monic polynomial of degree 4 such that P(1) = P(2) = P(3) = P(4) = 2. The value of P(0) 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.

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

Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and lim_(x->0)(1+(p(x))/x^2)=2. Then find the value of p(2).

Let p(x) be a polynomial of degree 4 such that P(1)=P(3)=P(5)=P'(7)=0. If the real number ane1,3,5 is such that P(a)=0 can be expressed as a=(p)/(q) , where p and q are relatively prime, then (p-8q) is……….

If P(x) is polynomial satisfying P(x^(2))=x^(2)P(x)andP(0)=-2, P'(3//2)=0andP(1)=0. The maximum value of P(x) is

If p(x) is a polynomial of degree 3 satisfying p(-1)=10 , p(1) =-6 and p(x) has maxima at x=-1 and p'(x) has minima at x=1, find the distance between the local maxima and local minima of the curve.

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

Suppose that P(x) is a quadratic polynomial such that P(0)=cos^3 40^@, P(1) = cos 40^@ sin^2 40^@ and P(2) =0 then find the numerical value of P(3)