[" The least value of the quadratic polynomial,"f(x)=(2p^(2)+1)x^(2)+2(4p^(2)-1)x+4(2p^(2)+1)" for real values of "p],[" and "x" is "]

Find all numbers p for each of which the least value of the quadratic trinomial 4x^(2)-4px+p^(2)-2p+2 on the interval 0<=x<=2 is equal to 3

If the root of the equation of the polynomial p(x)=8x^(3)-px^(2)-4x+2 be 1/2 , then calculate the value of p.

For what value of a is the polynomial p(x)=2x^(4)-ax^(3)+4x^(2)+2x+1 is divisible by 1-2x

Find the values of the following polynomials: p(x) = 2x^(2) + (1)/(4)x + 13 , when x = -1

For each of the following polynomial, find p(1), p(0) and p(-2). p(x)=x^(4)-2x^(2)-x

A quadratic polynomial p(x) is given as p(x)=x^(2)-5x+6, then find the maximum value of (p(cos x))/(2)

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^2-5x-1 , find the value of alpha^2beta+alphabeta^2 .

For each of the following polynomials, find p(1), p(0) and p(-2). p(x) =x^4 -2x^2 -x

A cubic polynomial p(x) is such that p(1)=1,p(2)=2,p(3)=3 and p(4)=5 then the value of p(6) is

If the roots of the quadratic equation 4x^(2) -16x + p = 0 , are real and unequal, then find the value/s of p.