Which polynomial function fx has a leading coefficient of 1

Which polynomial function f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3?

a) f(x) = 3(x + 5)(x + 4)(x – 2)(x – 9)

b) f(x) = 3(x – 5)(x – 4)(x + 2)(x + 9)

c) f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x – 2)(x – 9)

d) f(x) = (x – 5)(x – 5)(x – 5)(x – 4)(x + 2)(x + 9)

Solution

ans: C

f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x – 2)(x – 9)