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Answer:
<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3><h3>Step-by-step explanation:</h3><h3>x³ - x² - 14x + 24</h3><h3>1. Use the rational root theorem</h3>= ( x - 2 )( x² + x - 12 )
<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>= ( x - 2 )( x - 3 )(x + 4 )
<h3>Solution : </h3><h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>