Klein Colon
08/11/2024 · Junior High School
Find the zeros for \( f ( x ) \) and state the multiplicity. \( f ( x ) = ( x ^ { 2 } + 4 x + 4 ) ( x ^ { 2 } - 6 x + 9 ) ( x - 3 ) \)
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\(f( x) = ( x^ { 2} + 4x+ 4) ( x^ { 2} - 6x+ 9) ( x- 3) \)
\(= ( x+ 2) ^ { 2} ( x- 3) ^ { 2} ( x- 3) \)
The zeros are \(- 2\) (with a multiplicity of 2), \(3\) (with a multiplicity of 2), and \(3\) (with a multiplicity of 1).
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