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

It is given that the expression ax^(2)+bx+c is positive for all x greater than 5 .Then which of the following is true. (1) the equation ax^(2)+bx+c=0 has equal roots (2) a>0 and b (3) a>0 but b may or may not be negative (4) c>5

Factorise the expressions : x^2- ax - bx + ab .

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 :

If a>0, then the expression ax^(2)+bx+c is positive for all values of x' provided.

If x^(2)+px+1 is a factor of the expression ax^(3)+bx+c ,then

The degree of the algebraic expression ax^2 +bx+c is

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 .