Find the number of positive and negative roots of the equation `x^7 - 6x^6 + 7x^5 +5x^2+2x+2`

Determine the number of positive and negative roots of the equation x^9 - 5x^8 - 14 x^7 =0 .

Discuss the maximum possible number of positive the negative roots of the polynomial equation 9x^9 - 4x^8 + 4x^7 - 3x^6 + 2x^5 + x^3 + 7x^2 + 7x + 2 =0

The roots of the equation 2x^(2)-6x+7=0 are

Find the possible number of positive and negative real roots of x^4+7x^3-4x^2-x-7=0 .

Find the possible number of positive and negative real roots of 4x^7+3x^6+x^5+2x^4-x^3+9x^2+x+1=0 .