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2 years ago

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Which expression is equivalent to x³ - x² - 14x + 24?

1 answer:

serg [7]2 years ago

3 0

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>

$= (x - 2) \frac{x ^{3} -x^{2} - 14x + 24}{x - 2}$

<h3>2. $\frac{ {x}^{3} - {x}^{2} - 14x + 24 }{x - 2} = {x}^{2} + x - 12$ </h3><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>

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<u>ANSWER</u>

The zeros are $x=-5,x=0,x=5$

EXPLANATION

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