Discuss the signs of the following quadratic expressions when x is real.
`x^(2)-x+3`

Discuss the signs of the following quadratic expressions when x is real. x^(2)-5x+4

Discuss the sign of the following expressions when x is real i) x^(2)-5x+6 ii) x^(2)-x+3

Discuss the sign of the following expressions when x is real i) x^(2)-5x+6 ii) x^(2)-x+3

Find all possible values ( range) of the following quadratic expressions when x in R and when x in [-3,2] (a) 4x^2+28x+41 (b) 1+6x -x^2

Find all possible values ( range) of the following quadratic expressions when x in R and when x in [-3,2] (a) 4x^2+28x+41 (b) 1+6x -x^2

Find all possible values ( range) of the following quadratic expressions when x in R and when x in [-3,2] (a) 4x^2+28x+41 (b) 1+6x -x^2

Factor the following quadratic expressions. x^(2)+14x+33

Factor the following quadratic expressions. x^(2)-14x+45

Find the changes in the sign of the following expressions and find their extreme values. 15+4x-3x^(2)

Discuss the nature of the roots of the following quadratic equations: 3x ^2 −2x+1/3=0