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

The expression a^(2)x^(2)+bx+1 will be positive for all x in R if

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 .

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

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

If ax^(2)+bx+c=0 is satisfied by every real value of x, then

For real values of x, the expression ((x - b) (x - c))/((x - a)) will assume all real values provided :