Question 1089810
.
Use the rational zeros theorem to list the potential rational zeros of the polynomial function. Do not attempt to find the zeros.

f (x) = 2x^11−x^9+ 3x^8 + 28

Find the potential Rational zeros.

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A.
&#8722;1, 1, &#8722;2, 2, &#8722;4, 4, &#8722;7, 7, &#8722;14, 14, &#8722;28, 28, &#8722;1/2, 1/2, &#8722;7/2, 7/2    <<<---=== This answer is correct.


B.
&#8722;1, 1, &#8722;2, 2, &#8722;4, 4, &#8722;7, 7, &#8722;28, 28, &#8722;1/2, 1/2, &#8722;1/28, 1/28


C.
&#8722;1, 1, &#8722;2, 2, &#8722;4, 4, &#8722;7, 7, &#8722;28, 28, &#8722;1/2, 1/2, &#8722;7/2, 7/2, &#8722;1/28, 1/28


D.
&#8722;1, 1, &#8722;2, 2, &#8722;4, 4, &#8722;7, 7, &#8722;14, 14, &#8722;28, 28, &#8722;1/2, 1/2, &#8722;1/28, 1/28

Choose A, B, C, OR D. (SHOW WORK)
</pre>

On rational root theorem see this Wikipedia article


https://en.wikipedia.org/wiki/Rational_root_theorem



The potential roots are all integer divisors of the constant term 28,  <U>AND</U>  all fractions of dividing these divisors by 2.