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Feliz [49]
1 year ago
5

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

Mathematics
1 answer:
serg [7]1 year 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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Answer:

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General Formulas and Concepts:

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Order of Operations: BPEMDAS

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Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle \frac{2x - 24}{8}

<u>Step 2: Simplify</u>

  1. [Fraction - Numerator] Factor:                                                                       \displaystyle \frac{2(x - 12)}{8}
  2. [Fraction] Reduce:                                                                                         \displaystyle \frac{x - 12}{4}
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