We appreciate your visit to List the potential rational zeros of the polynomial tex f x 21x 4 x 2 49 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
To find the potential rational zeros of the polynomial f(x)=21x^4-x^2+49, we use the Rational Root Theorem and consider factors of the constant term (49) and factors of the leading coefficient (21), resulting in the potential zeros ± 1, ± 1/3, ± 7, ± 1/7, and ± 49/3.
Explanation:
The question is about finding the potential rational zeros of the polynomial f(x)=21x4-x2+49. To find the potential rational zeros, we use the Rational Root Theorem, which states that if the polynomial has rational zeros, they are of the form ±p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. In this case, the constant term is 49 and the leading coefficient is 21.
To find the potential rational zeros, we consider the factors of 49 which are ± 1, ± 7, and ± 49, and the factors of 21 which are ± 1, ± 3, ± 7, and ± 21. Thus, the potential rational zeros are ± 1/1, ± 1/3, ± 1/7, ± 1/21, ± 7/1, ± 7/3, ± 7/7, ± 7/21, ± 49/1, ± 49/3, ± 49/7, ± 49/21, which simplifies to ± 1, ± 1/3, ± 7, ± 1/7, and ± 49/3.
Thanks for taking the time to read List the potential rational zeros of the polynomial tex f x 21x 4 x 2 49 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada