For the expression `ax^2 + 7x + 2` to be quadratic, the possible values of `a` are

For the expression ax^(2)+ 7x + 2 to be quadratic, the possible value of a are "______" .

For the expression 7x^(2) + bx +4 to be quadratic , the possible values of b are "______" .

Factorise the expression f(x)=2x^(3)-7x^(2)-3x+18 , Hence, find all possible values of x for which f(x)=0.

Find the values of a, for which the quadratic expression ax^2 + (a - 2) x - 2 is negative for exactly two integral values of x .

It is given that the expression ax^(2)+bx+c takes negative values for all x<7. Then

If x = 2/3 and x =- 3 are the roots of the quadratic equation ax^(2) +7x+b = 0 then find the values of a and b.

If the minimum value of the quadratic expression y =ax ^(2)+bx +c is negative attained at negative vlaue of x, then :

If the minimum value of the quadratic expression y =ax ^(2)+bx +c is negative attained at negative vlaue of x, then :

Find the value of a which makes the expression x^2-ax+1-2a^2 always positive for real values of x.