Question
Question 5 (1 point) Match the number of zeros to each polynomial function \( \begin{array}{ll}4 \text { zeros } & \text { 1. } f(x)=3 x^{4}+4 x-8 \\ 7 & \text { 2. } f(x)=3 x^{4}-7 x^{2}-2 x^{7}-x+4\end{array} \)
Ask by Boyd Johnston. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
**Match:**
- **4 zeros** → **1.** \( f(x) = 3x^{4} + 4x - 8 \)
- **7 zeros** → **2.** \( f(x) = 3x^{4} - 7x^{2} - 2x^{7} - x + 4 \)
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock
Reviewed and approved by the UpStudy tutoring team
Like
Extra Insights
The first polynomial function, \( f(x)=3 x^{4}+4 x-8 \), is a degree 4 polynomial, which can have up to 4 zeros. However, it typically does not have 4 distinct real zeros due to potential complex roots. On the other hand, the second polynomial function, \( f(x)=3 x^{4}-7 x^{2}-2 x^{7}-x+4\), is a degree 7 polynomial and can have up to 7 zeros. Therefore, the correct matches would be: 1. 4 zeros - \( f(x)=3 x^{4}+4 x-8 \) 2. 7 zeros - \( f(x)=3 x^{4}-7 x^{2}-2 x^{7}-x+4 \)