We appreciate your visit to How do you solve this equation Find all real zeros of the given polynomial function f Enter your answers as a comma separated list f. 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:
In this particular polynomial function, the possible rational roots are 0, 1, -1, 5, -5, 7, -7, 35, -35.
Explanation:
To solve the equation f(x) = 35x^5 + 173x^4 – 118x^3 – 5x^2 and find its real zeros, we need to factor the polynomial function.
By factoring, we can set the polynomial function equal to zero and find the values of x that make it true. We can start by factoring out the greatest common factor, if any. In this case, there is no common factor other than 1.
Next, we can look for rational roots using the Rational Root Theorem. The possible rational roots of a polynomial are the factors of the constant term divided by the factors of the leading coefficient. In our function, the constant term is 0, and the leading coefficient is 35. Therefore, the possible rational roots are all factors of 0 divided by all factors of 35 (including both positive and negative values).
Upon finding one rational root, we can use long division or synthetic division to divide the function by the linear factor (x – r).
In this particular polynomial function, the possible rational roots are 0, 1, -1, 5, -5, 7, -7, 35, -35. We can test each of these values to see if they are roots of the polynomial function. By using the rational root theorem, we can determine the actual roots of polynomial function f(x). We find that the rational root x = 0 is a root. By using long division or synthetic division, we can further factor the polynomial f(x) to find the remaining roots.
Learn more about Solving Polynomial Equations here:
https://brainly.com/question/14837418
#SPJ11
Thanks for taking the time to read How do you solve this equation Find all real zeros of the given polynomial function f Enter your answers as a comma separated list f. 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
