She used the diameter instead of the radius :) instead of cubing 8 she should’ve cubed 4
Given that a polynomial function P(x) has rational coefficients.
Two roots are already given which are i and 7+8i,
Now we have to find two additional roots of P(x)=0
Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.
conjugate of a+bi is given by a-bi
So using that logic, conjugate of i is i
also conjugate of 7+8i is 7-8i
Hence final answer for the remaining roots are (-i) and (7-8i).
Answer:
No because the line does not pass through the origin
Step-by-step explanation:
to be proportional it has to go through the origin
Given:
The function is

(-5,n) is an ordered pair of the function rule.
To find:
The value of n.
Solution:
If (-5,n) is an ordered pair of the function rule, then the function must be satisfied by the point (-5,n). It means f(-5)=n.
Substitute x=-5 in the given function.



We know that,
. So,

Therefore, the value of n is 10.