I'm not sure how to find zeros and multipilicities

If is a polynomial, then the zeros of are the values of that satisfy .

So for (1), the zeros of are the solutions to

You can think of the multiplicity of each root as the number of times a root satisfies this equation. In this case, the multiplicity of each root is 1, because there is only one factor of or or .

For (2), the zeros of are the solutions to

and the multiplicity of the zero is 2 because there are two factors of in . The multiplicity of the other roots would be 1.

d. is the correct answer

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.