Find the Zeros and Their Multiplicities $$f ( x ) = x ^ { 9 } + 10 x ^ { 8 } + 27 x ^ { 7 } + 20 x ^ { 6 } + 50 x ^ { 5 }$$

question 293

Multiple Choice

Find the zeros and their multiplicities. Consider using Descartes' rule of signs and the upper and lower
bound theorem to limit your search for rational zeros.
- $$f ( x ) = x ^ { 9 } + 10 x ^ { 8 } + 27 x ^ { 7 } + 20 x ^ { 6 } + 50 x ^ { 5 }$$

• A) 0 (multiplicity 5), 5 (multiplicity 2 ) and \(\pm i \sqrt { 2 }\) (each multiplicity 1 )
• B) 0 (multiplicity 5 ), \(- 5\) (multiplicity 2 ) and \(\pm i \sqrt { 2 }\) (each multiplicity 1 )
• C) 0 (multiplicity 5), 5 (multiplicity 2 ) and \(\pm 2 i\) (each multiplicity 1 )
• D) 0 (multiplicity 5), 5 (multiplicity 2 ) and \(\pm \sqrt { 2 }\) (each multiplicity \(1 )\)

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