Well I need this by the end of tonight. I still haven't figured out the answer. Could someone please help, thanks.
Form a polynomial F(x) with real coefficients having given degree and zero.
Degree 4; zeros: i, 1+ 2i
Thanks, this will be greatly appreciated.
Hello, nib-ball!
You're expected to know a few facts about polynomial equations . . .Form a polynomial with real coefficients
of degree 4, and zeros:
Complex zeros always appear in conjugate pairs.
. . Since is a zero, then is also a zero.
. . Since is a zero, then is also a zero.
If is a zero of a polynomial, then is a factor of the polynomial.
. . Since is a zero, then is a factor.
. . Since is a zero, then is a factor.
. . Since is a zero, then is a factor.
. . Since is a zero, then is a factor.
The polynomial could be: .
. . which simplifies to: .