Answer:
When the discriminant of a quadratic function is negative than it is not be written in factored form.
Step-by-step explanation:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
1. It is factorable if [tex]D=b^2-4ac\geq 0,[/tex] i.e., graph of function intersect the x-axis, roots of the function are real.
2. It is not factorable if [tex]D=b^2-4ac< 0,[/tex] i.e., graph of function does not intersect the x-axis, roots of the function are imaginary or complex.
It means, the quadratic function not be written in factored form when the discriminant of a quadratic function is negative.
