With step instructions, im a mom trying to explain this to my child. will award !

a student claims that -4i is the only imaginary root of a quadratic polynomial equation that has real coefficients.
a. what is the students mistake?
b. write one possible polynomial that has the correct roots from part a in standard form.

+4i is also a root.

Step-by-step explanation:

Imaginary roots always occur in conjugate pairs.

This means that if -4i is a root of an equation then 4+i should also be a root. -4i can never be the only root.

So, the student's mistake is in claiming that -4i is the only root.

A quadratic equation which has +4i and -4i as roots: (x² + 4) = 0.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5