Find a polynomial function f(x) of least degree having only real coefficients with zeros of 0, 2i, and 1+i
Added by Steven C.
Step 1
Since the polynomial has real coefficients, the complex zeros must come in conjugate pairs. Therefore, the third zero must be 1-i. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Kathleen Carty and 64 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find a polynomial function $f(x)$ of least degree having only real coefficients with zeros as given. See Examples $4-6$. $0,-i,$ and $2+i$
Polynomial and Rational Functions
Zeros of Polynomial Functions
Find a polynomial function $f(x)$ of least degree having only real coefficients and zeros as given. Assume multiplicity I unless otherwise stated. $0,-i,$ and $2+i$
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD