Let P(x) is polynomial of degree four with leading coefficient one and satisfying the condition P(3)=11, P(-3)=11, P'(3)=6, P''(3)=2, then the value of P(5) is equal to

If P(x)=x^(3)-1 then the value of P(1)+P(-1) is

If P = {2, 3}, then P xx P is equal to

If P(x) =x+3, then p(x)+p(-x) is equal to

Let p(x) be a polynomial of degree 6 with leading coefficient unity and p(-x)=p(x)AAxepsilonR . Also (p(1)+3)^(2)+p^(2)(2)+(p(3)-5)^(2)=0 then sqrt(-4-p(0)) is….

A polynomial function P(x) of degree 5 with leading coefficient one, increases in the interval (-oo, 1 ) and (3,oo) and decreases in the interval ( 1 , 3). Given that P(0) = 4 and P'(2)=0. Find th value P'(6).

Let p (x) be a polynomial with real coefficient and p (x)-p'(x) =x^(2)+2x+1. Find P (-1).

If P(A) =1/2 ,P(B) =3/5 and P (A cap B) = 3/10 then P(B/A) is equal to

P(x) be 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 then The value of P(1) 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(5) 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