Sketch a polynomial function with the following characteristics:

 

a. 5 real zeroes

b. a zero of multiplicity 2 at x=-4

c. a zero of multiplicity 1 at x=2

d. a negative leading coefficient

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?

which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?

1. f(x) = (x – 2i)(x – 3i)
2. f(x) = (x + 2i)(x + 3i)
3. f(x) = (x – 2)(x – 3)(x – 2i)(x – 3i)
4. f(x) = (x + 2i)(x + 3i)(x – 2i)(x – 3i)

which of the following describes the roots of the polynomial function f(x)=(x-3)^4(x-6)^2?

A.  –3 with multiplicity 2 and 6 with multiplicity 4
B.  –3 with multiplicity 4 and 6 with multiplicity 2
C.  3 with multiplicity 2 and –6 with multiplicity 4
D.  3 with multiplicity 4 and 6 with multiplicity 2