Question

If 2+5i is a zero of the polynomial f(x), what is another zero of f(x)?

Answer 1

2-5i

Answer 2

because of the conjugate root theorem

Answer 3

well that was easy! ha thankss!

Answer 4

correct!

Answer 5

we only get conjugates with real polynomials. we don't get conjugates in imaginary polynomials. remember that

Answer 6

alright, thanks!

Answer 7

i have one last question...
can you explain how understanding the Fundamental Theorem of Algebra and using the graphing calculator can help in solving a polynomial function that is a fourth degree polynomial.

Answer 8

all i know is that the fundamental theorem states that if f(x) is a polynomial of degree n, where n is greater than 0, f has at least one 0 in the complex number system.
i just dont know if that would be an acceptable answer...

Answer 9

i guess we could say that

every real polynomail can be expressed as a product of real linear and irreducible quadratic factors (where discriminant is less that zero)

if p+qi (q does not equal zero) is a zero of a real polynomail then its complex conjugate p-qi is also a zero.

every polynomial of odd degree has at least one real zero...

um every real olynomial of degree n can be factorised into n complex linear factors, some of which may be repeated...

Answer 10

think about those possibilites

Answer 11

u think about it

Answer 12

ur mum, thats all. and no its not summer here, its winter i have only 3 weeks break

Answer 13

ur turning american :O how was uni?

Answer 14

where did the question go

Answer 15

alright, well ill work on this. thanks for all the help!