If all the roots (zeros) of the polynomial `f(x)= x^5 + ax^4 + bx^3 + cx^2 + dx - 420` are integers larger than 1, then `f(4)` equals

The degree of the polynomial ax^(4) + bx^(3) + cx^(2) + dx + e is ………..

If the product of the zeros of the polynomial f(x)= ax^3-6x^2+11x-6 is 4, then a = .....

If x=1/2 is a zero of the polynomial f(x)=8x^3+ax^2-4x+2 , find the value of a.

If the zeroes of the polynomial f(x)=x^(3)-ax^(2)+bx+c are in arithmetic progression, then

If zeros of a polynomial f(x) = ax^(3) + 3bx^(2) + 3cx + d are in AP prove that 2b^(3) - 3abc + a^(2) d = c .

Obtain all the zeros of the polynomial f(x)=3x^4+6x^3−2x^2−10x−5 , if two of its zeros are sqrt(5/3) and sqrt(-5/3)

If the zeros of the polynomial f(x)=ax^(3)+3bx^(2)+3cx+d are in A.P.then show that 2b^(3)-3abc+a^(2)d=0

If the zeros of the polynomial f(x)=ax^(3)+3bx^(2)+3cx+d are in A.P. prove that 2b^(3)-3abc+a^(2)d=0

Obtain all zeros of a polynomial f(x) = 3 x^(4) + 6 x^(3) - 2x^(2) - 10 x - 5 , if two of its zeros are sqrt((5)/(3)) and - sqrt((5)/(3))