A 4th degree polynomial function has zeros at 3 and 5-i. Can 4+i also be a zero of the function?
1 answer:
Sure, provided that the coefficients of the polynomial are complex, and not strictly real.
If you require that the coefficients of the polynomial be real, then the answer would be no. For such a polynomial, any complex roots occur in conjugate pairs, so if
is a root, then so must be 
.
A degree-4 polynomial can have up to four distinct roots, so if the coefficients are all real, then the remaining fourth root must be real.
If you require that the coefficients of the polynomial be real, then the answer would be no. For such a polynomial, any complex roots occur in conjugate pairs, so if
A degree-4 polynomial can have up to four distinct roots, so if the coefficients are all real, then the remaining fourth root must be real.
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Answer:
The answers are: 1 and 1.
Step-by-step explanation:
I believe they are how combinations are written. In other words:
(Ignore the fraction bar, I can't really format it properly).
Anyways, simply find the combination of each:
Note that 0! equals 1.