Find the sum of all the real roots of the polynomial `prod_(k=1)^(100)(x^2-11x+k)=0`

Find the value of 'k' if x+3, is a factor of the polynomial x^(4)-x^(3)-11x^(2)-x+k .

Find the value of 'k' if x+3, is a factor of the polynomial x^(4)-x^(3)-11x^(2)-x+k .

If k is real, discuss the neture of the roots of the polynomial equaion 2x^2 + x + k = 0 , in terms of k.

If k is real , discuss the nature of the roots of the polynomial equation 2x^2+kx+k=0 , in terms of k.

The number of real roots of equation sum_(k=1)^(oo)(x-k^(k))^(7)=0;(n>5)

11. If -3 is one of the zeroes of the polynomial (k-1)x^(2)+kx+1, find the value of k

If 3x^(2)-7x+2=0 and 15x^(2)-11x+a=0 have a common root and a is a positive real number then the sum of the roots of the equation 15x^(2) -ax +7=0 is

Find the value of k for real and equal roots *(k+1)x^(2)-2(k-1)x+1=0

If x=4/3 is a root of the polynomial f(x)=6x^3-11 x^2+k x-20 , find the value of k