Show that the polynomial `f(x) = x^(4)+4x^(2)+6` has no zero.

Show that the polynomial f(x)=x^(2)+px+q has a repeated zero,if 4p^(2)+27q^(2)=0

Use the Intermediate Value Theorem to show that the polynomial function f(x) = x^(3) + 2x-1 has a zero in the interval [0,1].

If the sum of the zeros of the polynomial f(x) = 2x^(3) - 3 kx^(2) + 4x - 5 is 6 then k = …………

Verify that (i) 4 is a zero of the polynomial , p (x) = x -4. (ii) -3 is a zero of the polynomial , q (x) = x+3. (iii) (2)/(5) is a zero of the polynomial , f (x) =2 - 5x. (iv) (-1)/(2) is a zero of the polynomial , g (y) = 2y +1.

The zero of the polynomial f(x) = 7x + 2 is

If a and B are the zeroes of the polynomial f(x) = x^(2) - 4x - 5 then find the value of alpha^(2) + beta^(2) .

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

Obtain all zeros of the polynomial f(x)=2x^(4)-2x^(3)-7x^(2)+3x+6, if its two zeros are -sqrt((3)/(2)) and sqrt((3)/(2))

Obtain all zeros of the polynomial f(x)=2x^(4)+x^(3)-14x^(2)-19x-6, if two of its zeros are -2 and 1

The zeroes of the polynomial p(x) = 4x^(2) - 12x +9 are