Ask your own question, for FREE!
Mathematics 33 Online
OpenStudy (anonymous):

it says write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed: -1 (multiplicity 2), -2 -i (multiplicity 1). Can anyone help?

OpenStudy (anonymous):

If you know the zero (root) of a function, you know a factor of it. Turn a zero into a factor by plugging the zero into (x - zero). For example, if 3 is a zero, then (x - 3) is a factor. Multiplicity just means how many times a particular factor is used. Multiplicity 2 means the factor is squared. So, take all your factors (you'll have 3 in your example) and multiply them together (or just write them side by side if you don't need to FOIL out) and you're done.

OpenStudy (anonymous):

Thank you!

OpenStudy (anonymous):

There's one more thing you'll need. If a real polynomial has a complex root, say a + bi, then it also has the root a - bi, called the complex conjugate of a + bi. So our polynomial actually has an additional root -2 + i, which is stealthily hidden in the list they gave.

OpenStudy (anonymous):

thanks

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
brixxi1: BRUUUU dis is why i hate bein in rls
14 minutes ago 1 Reply 0 Medals
brixxi1: its crzy how des Pickles be cheatin on des pretty Pizza girls
15 minutes ago 0 Replies 0 Medals
Midnight97: A little bit of an update on my OC
6 minutes ago 5 Replies 1 Medal
Countless7Echos: ik i'm late but finished ToT added some details :p
4 hours ago 3 Replies 0 Medals
Grimson: What's your new years resolution.
16 hours ago 1 Reply 1 Medal
LemmyluvsGelo: Why be sad when you could js be Gone . ud83dudd7a
5 hours ago 5 Replies 2 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!