We appreciate your visit to If tex p x 3x 4 14x 3 6x 2 3x 23 tex use synthetic division to find tex p 5 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:
Synthetic division is used to find the value of a polynomial at a specific point. We used this process to find that p(-5) = 237 when given p(x) = 3x⁴ + 14x³ - 6x² - 3x - 23.
Explanation:
To solve the question using synthetic division, we set up the coefficients of the polynomial p(x) in order of their powers from greatest to least: 3, 14, -6, -3, -23. In synthetic division, the number we are dividing by (in this case, -5) is written to the left of these coefficients.
- Write the first term (3) underneath the line. Multiply this value by -5 to give -15.
- Add this number to the next coefficient in the row (14), to give -1. Write this value under the line, and again multiply by -5 to give 5.
- Repeat this process with the remaining coefficients, resulting in a final row of 3, -1, 9, -48, 237.
So the final result, p(-5), is given by the last number calculated, which is 237. Thus, p(-5) = 237.
Learn more about Synthetic Division here:
https://brainly.com/question/31409612
#SPJ11
Thanks for taking the time to read If tex p x 3x 4 14x 3 6x 2 3x 23 tex use synthetic division to find tex p 5 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
