Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 7x¹ + 6x³-36x² - 30x + 5 Find the real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. O A. x= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.) OB. There are no real zeros.
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 7x¹ + 6x³-36x² - 30x + 5 Find the real zeros of f. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. O A. x= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.) OB. There are no real zeros.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Task: Using the Rational Zeros Theorem to Determine Real Zeros**
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor \( f \) over the real numbers.
### Polynomial Function
\[ f(x) = 7x^4 + 6x^3 - 36x^2 - 30x + 5 \]
---
### Question
Find the real zeros of \( f \). Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
- **A.** \( x = \) [ ]
*(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.)*
- **B.** There are no real zeros.
---
This task involves applying the Rational Zeros Theorem to identify all potential rational zeros of the polynomial \( f(x) \). After finding these zeros, you can factor the polynomial accordingly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5176918d-490e-4e4c-9479-7244d7c3ebde%2Fceaff5b6-4095-425a-a743-53c6f9e853ab%2Fhb4wlqp_processed.png&w=3840&q=75)
Transcribed Image Text:**Task: Using the Rational Zeros Theorem to Determine Real Zeros**
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor \( f \) over the real numbers.
### Polynomial Function
\[ f(x) = 7x^4 + 6x^3 - 36x^2 - 30x + 5 \]
---
### Question
Find the real zeros of \( f \). Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
- **A.** \( x = \) [ ]
*(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.)*
- **B.** There are no real zeros.
---
This task involves applying the Rational Zeros Theorem to identify all potential rational zeros of the polynomial \( f(x) \). After finding these zeros, you can factor the polynomial accordingly.
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