Use the rational zeros theorem to list all possible rational zeros of the f g (x) = 7x* + 7x - 2x? + 6x – 2 Be sure that no value in your list appears more than once.

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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Use the rational zeros theorem to list all possible rational zeros of the following.
g (x) =7x* + 7x
2x + 6x – 2
Be sure that no value in your list appears more than once.
Transcribed Image Text:Use the rational zeros theorem to list all possible rational zeros of the following. g (x) =7x* + 7x 2x + 6x – 2 Be sure that no value in your list appears more than once.
Expert Solution
Step 1

We have to find all possible rational Zeroes of the function g(x),

g(x)=7x4+7x3-2x2+6x-2

Concep:

Rational Zeroes Theorem:

If a polynomial function written in descending order of the exponents,has integer coefficient,then any rational zero must be of the form (+p/q),(-p/q),where p is the factor of constant term and q is factor of the leading coefficient.

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