Question

Find the root(s) of f (x) = (x- 6)2(x + 2)2.

Answer 1

Answer:

ANSWER

The correct options are ,

D. -6 with multiplicity of 2

and

F. -2 with multiplicity of 2

EXPLANATION

The multiplicity of the roots of a polynomial function tells us the number of times the roots the roots of the polynomial repeat.

Considering the polynomial function

the roots can be found by equating either factors to zero

The square tells us that the root

repeats twice. This means it has a multiplicity of 2.

Also

tells us that the root

has a multiplicity of 2

Therefore options D and F are the correct options.