Home
Class 12
MATHS
Find the cubic polynomial in x which att...

Find the cubic polynomial in x which attains its maximum value 4 and minimum value 0 at x =-1 and 1 respectively

Text Solution

Verified by Experts

The correct Answer is:
`x^(3)-3x+2`
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    FULL MARKS|Exercise EXERCISE 10.9|25 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    FULL MARKS|Exercise EXERCISE -4.6|20 Videos
  • PROBABILITY DISTRIBUTIONS

    FULL MARKS|Exercise Additional Problems|27 Videos

Similar Questions

Explore conceptually related problems

The minimum and the maximum values of |cosx|-2 are respectively :

The minimum and the maximum values of |cos x|-2 are respectively …………

Find the maximum and minimum values of f(x)=|x+3|AAx inRR .

Find the maximum and minimum values of x + sin 2x on [0, 2 pi ].

If the function f(x)=2x^3-9ax^2+12x^2x+1, where a gt 0, attains its maximum and minimum at p and q, respectively, such that p^2=q, then a equal to (a) 1 (b) 2 (c) 1/2 (d) 3

Let f(x) be a cubic polynomial which has local maximum at x=-1 \ and \ f(x) has a local minimum at x=1. if f(-1)=10 \ and \ f(3)=-22 , then one fourth of the distance between its two horizontal tangents is ____________

Find the quadratic polynomial in each case, with the given numbers as the sum and product of its zeroes respectively. -1/4,1/4

If P(x) is a polynomial of the least degree that has a maximum equal to 6 at x=1 , and a minimum equalto 2 at x= 3 ,then int_0^1 P(x)dx equals:

Find sum of maximum and minimum values of the function f(x) = sin^2x + 8cosx - 7

If alpha+beta=90^0 , find the maximum and minimum values of sinalphasinbetadot