## anonymous one year ago Which polynomial function has a leading coefficient of 3 and roots –4, i, and 2, all with multiplicity 1? f(x) = 3(x + 4)(x – i)(x – 2) f(x) = (x – 3)(x + 4)(x – i)(x – 2) f(x) = (x – 3)(x + 4)(x – i)(x + i)(x – 2) f(x) = 3(x + 4)(x – i)(x + i)(x – 2)

1. misty1212
2. misty1212

oh hold on

3. misty1212

if it is supposed to be a real polynomial you have to go with the last one

4. misty1212

each factor is $$(x-\text{ one of the zeros})$$

5. misty1212

except if it should be real, then you need both $$(x-i)$$ and $$(x+i)$$ i would pick D

6. anonymous

Thank you!!!

7. misty1212

$\color\magenta\heartsuit$

8. anonymous

imaginary roots always occur in pairs.