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

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

If the polynomial x^(6)+px^(5) +qx^(4) -x^(2)-x-3 is divisible by (x^(4) -1) , then the value of p^(2)+q^(2) is

If the quadratic polynomial p(x) is divisible by x - 4 and 2 is a zero of p(x) then find the polynomial p(x).

For what value of p, ( - 4) is a zero of the polynomial x^(2) - 2x - ( 7p+3) ?

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

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 P(x) = x^2 - x + 1 , find the value of P(1)

If 16x^(2)-p=(4x-(1)/(3))(4x+(1)/(3)) then find the value of p