Let a be an integer such that all the re...

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

Similar Questions

Explore conceptually related problems

Prove that tan(pi)/(10) is a root of polynomial equation 5x^(4)-10x^(2)+1=0

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

If x is real and 5x^(2)+2x+9>3x^(2)+10x+7, then x lies in the interval

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

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

No of non real real roots of the equation x^(10)-3x^(8)+5x^(6)-5x^(4)+3x^(2)-1=0

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)

On dividing the polynomial 8x^(3)-6x^(2) + 10x + 3 by (4x+1) , the quotient is 2x^(2) +k , where, k is equal to

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))