QUADRATIC EQUATIONSFor what values of a € R, the quadratic equation (a^2+1)x^2 -(a+1)x +(a^2-a-2)=0 will have roots of opposite sign?

If a is positive and c is negative, then ax²+bx+c will factor like ( x + )( x - ) and so will have roots of opposite signs. The same can be same can be said if a is negative and c is positive. In general then, if ac