Find the integral values of `a` for which `(a+2)x^2+2(a+1)x+a=0` will have both roots integers

Number of integral values of a for which quadratic equation (a-1)x^(2)+(4a+1)x-6=0 have both roots integer,is

The number of integral values of a for which x^(2) - (a-1) x+3 = 0 has both roots positive and x^(2) + 3x + 6 - a = 0 has both roots negative is

The number of integral values of a for which x^(2) - (a-1) x+3 = 0 has both roots positive and x^(2) + 3x + 6 - a = 0 has both roots negative is

The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(2a+1)=0 has both the roots positive is

The least integral value of a'a' for which the equation x^(2)+2(a-1)x+(2a+1)=0 has both the roots positive,is

The least integral value of 'a' for which the equation x^2+2(a - 1)x + (2a + 1) = 0 has both the roots positive, is

Number of integral value(s) of a for which the equation x^(2)+(a+3)x+a^(2)+3a+4=0 will have roots of opposite sign is equal to:

Number of integral values of a for which the equation x^2-(a+1)x+a-1=0 , has integral roots, is equal to -