If all the zeros of polynomial function `f(x)=2x^5+5x^4+10x^3+10x^2+10x+10` lies in `(a,a+1)` where `a in I ` then find `absa`

Let a be an integer such that all the real roots of the polynomial 2x^(5)+5x^(4)+10x^(3)+10x^(2)+10x +10 lie in the interval (a,a+1) . Then, |a | is equal to

Find all the zeros of the polynomial f(x)=3x^4-4x^3-10x^2+8x+8 , if two of its zeros are sqrt(2) and -sqrt(2) .

Find all zeroes of the polynomial 2x^4 – 10x^3 + 5x^2 + 15x – 12 when its two zeroes are sqrt(3/2) and -sqrt(3/2)

Verify that 5, -2 and 1/3 are the zeros of the cubic polynomial p(x) = 3x^(3) - 10x^(2) - 27x+10 and verify the relation between its zeros and coefficients.

Find the range of the function f(x) =sin^(-1)sqrt(1+x^4)/(1+5x^10)

Find all zeroes of the polynomial 3x^(3)+10x^(2)-9x-4 , if one of its zero is 1.

Find other zeroes of the polynomial p(x)=3x^(4)-4x^(3)-10x^(2)+8x+8 , if two its zeros are sqrt2 and -sqrt2 .

Find other zeros of the polynomial p(x)=3x^(4)-4x^(3)-10x^(2)+8x+8 if two of its zeroses are sqrt2 and -sqrt2

If (x+2)and(x-1) are factors of the polynomial p(x)=x^(3)+10x^(2)+mx+n then

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))