"polynomial function f(x) has a leading coefficient of 1" So because of that, we can eliminate A and B. Now we have "root –5 with multiplicity 3" That's just product of three factors (x+5) So D is wrong. We are left with the only possible correct option C. C is f(x)= (x + 5)(x + 5)(x + 5)(x + 4)(x – 2)(x – 9)
Shoutout to: @Geerky42
Answer is: C: f(x)= (x+5)(x+5)(x+5)(x+4)(x-2)(x-9)