Let `P(x)=x^2 + 2(a^2 + a + 1)x + a^2 + 5a+2`. If minimum value of `P(x)` for `x leq0` is 8, thernthe sum ofthe squares of all possible value(s)of a, is

Let P(x)=x^(2)+2(a^(2)+a+1)x+a^(2)+5a+2 If minimum value of P(x) for x<=0 is 8, thernthe sum ofthe squares of all possible value(s)of a,is

If log_(3/2)((2x-8)/(x-2))<0 then set of all possible values of x is :

If (x^(2)-7x+9)^(x^(2)-8x+7)=1 then sum of all possible values of x is :

Let P(x)=ax^(2)+bx+8 is a quadratic polynomial. If the minimum value of P(x) is 6 when x=2 , find the values of a and b.

The value of ' ' ' for which the sum of the square of the roots of 2x^(2)-2(p-2)x-p-1=0 is least ,is

Let P(x)=x^(2)-cx-c. If P(x) is divided by (x-2), the remainder is the same as when (P(x))^(2) is divided by (x-2), then the sum of all possible values of c, is :

Let P(x)=x^(2)-cx-c. If P(x) is divided by (x-2), the remainder is the same as when (P(x))^(2) is divided by (x-2), then the sum of all possible values of c, is :