Let `P(x)=x^4+a x^3+b x^2+c x+d` be a polynomial such that `P(1)=1,P(2)=8,+P(3)=27 ,P(4)=64` then the value of `152-P(5)` is____________.

Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1, P(2)=8, P(3)=27, P(4)=64 then find P(10)

Let X and Y be two events such that P(X)=1/3, P(X|Y)=1/2and P(Y|X)=2/5. Then

Let P(x) = x^10+ a_2x^8 + a_3 x^6+ a_4 x^4 + a_5x^2 be a polynomial with real coefficients. If P(1) and P(2)=5 , then the minimum-number of distinct real zeroes of P(x) is

consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1 and lim_(xrarr0) p(x)/(x^(3))-2=4 Then the value of P(x)_____.

If P(A)=1/3, P(B)=2/4, P(A∪ B)=1/4 then find P(A∩B)

Let f(x)=x^(3)+x+1 , let p(x) be a cubic polynomial such that the roots of p(x)=0 are the squares of the roots of f(x)=0 , then

Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1, and ("lim")_(xvec0)((p(x))/(x^3)-2)=4 . Then the value of [P(1)] is (where [.] represents greatest integer function)___

Let P(x) and Q(x) be two polynomials. If f(x) = P(x^4) + xQ(x^4) is divisible by x^2 + 1 , then

Polynomial P(x) is divided by (x-3) , the remainder if 6.If P(x) is divided by (x^2-9) , then the remainder is g(x) . Then the value of g(2) is ___________.