Could i have help with this question please?
Sure! Both B and C are asking you to examine the discriminant of the quadratic factor in the polynomial, that is, \(x^2-3x+c\). The discriminant in this case is \(b^2-4ac=9-4c\).
Remember, if the discriminant is equal to zero, there is a single root for the quadratic. If it is greater than zero, there are two roots.
For the whole function, the number of roots is \(1+n\) where \(n\) is the number of roots for the quadratic (because there is a single root from that linear factor out the front either way). So you'll end up with a few inequalities! See if that helps you move towards an answer - Let me know if it doesn't
The last question needs simultaneous equations:
Those two equations, solved simultaneously, will give you the answers you need!
Let me know if this helps