Home
Class 12
MATHS
Let P(x) be a real polynomial of degree ...

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........

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Let p(x) be a real polynomial of least degree which has a local maximum at x=1 and a local minimum at x=3. If p(1)=6 and p(3)=2, then p'(0) is

If P (x) be a polynomial of degree three that has a local maximum value 8 at x=1 and a local minimum value 4 at x=2 , then p (0 ) 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) 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(2) is

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 g (x) be a cubic polnomial having local maximum at x=-1 and g '(x) has a local minimum at x =1, If g (-1) =10 g, (3) =- 22, then

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

Let P(x) be a polynomial of degree 4 and it vanishes at x=0. Given P(-1)=55 and P has relative maximum/relative minimum at (x=1,2,3) Area of the triangle formed by extremum points of P(x), is