Question
Find a third-degree polynomial equation with rational coefficients that has the given numbers as roots.$$3+i \text { and }-3$$
Step 1
However, we know that complex roots always come in conjugate pairs if the coefficients of the polynomial are real numbers. Therefore, the conjugate of $3+i$, which is $3-i$, is also a root of the polynomial. Show more…
Show all steps
Your feedback will help us improve your experience
Elisa Ma and 60 other Calculus 1 / AB 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 third-degree polynomial equation with rational coefficients that has the given numbers as roots. $$ -1 \text { and } i+1 $$
Polynomials And Polynomial Functions
Theorems About Roots of Polynomial Equations
Find a third-degree polynomial equation with rational coefficients that has the given numbers as roots. 1 and 3i
Find a third-degree polynomial equation with rational coefficients that has the given numbers as roots. $$ -2 i \text { and } 6 $$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD