Let f(x) be a cubic polynomial such that x = 1 is a repeated root of order 2 and `x=5/3` is a point of local Minima. If `int_0^1f(x)dx=(-7)/12,` then

Let f(x) be a cubic polynomial such that x=1 is a repeated root of order 2 and x=(5)/(3) is a point of local Minima.If int_(0)^(1)f(x)dx=(-7)/(12) then

Let f(x) be a cubic polynomial such that it has point of inflection at x=2 and local minima at x=4, then-

Let f(x) be a cubic polynomial with leading coefficient unity such that f(0)=1 and all the roots of f(x)=0 are also roots of f(x)=0. If f(x)dx=g(x)+C, where g(0)=(1)/(4) and C is constant of integration,then g(3)-g(1) is equal to

Let f(x) be a cubic polynomial which is having local maximum at (1,2) and f'(x) has local extrema at x=0 .If f(0)=1 then

" Let "f(x)" be a quadratic polynomial such that "f(-1)+f(2)=0" .If one of the roots of "f(x)=0" is "3" ,then its other root lies in "

Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a local minima at x = 1, and f'(x) has a local minima at x = -1. Then f(3) is equal to _________.

Let f(x) be a cubic function such that f'(1)=f''(2)=0 . If x=1 is a point of local maxima of f(x), then the local minimum value of f(x) occurs at

Let f(x) be a cubic function such that f'(1)=f''(2)=0 . If x=1 is a point of local maxima of f(x), then the local minimum value of f(x) occurs at

Let f(x) be a cubic polynomial such that it has maxima at x=-1 , min at x=1 , int_-1^1 f(x)dx=18 , f(2)=10 then find the sum of coff. of f(x)

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