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Factorize : 2x^3 - x^2 - 5x - 2

Answer» <html><body><p><strong>Answer:</strong></p><p></p><p><strong>Step-by-step explanation:</strong></p><p>Changes made to your input should not affect the solution:</p><p></p><p> (1): "x2"   was replaced by   "x^2".  1 more similar <a href="https://interviewquestions.tuteehub.com/tag/replacement-1185217" style="font-weight:bold;" target="_blank" title="Click to know more about REPLACEMENT">REPLACEMENT</a>(s).</p><p></p><p>STEP</p><p>1</p><p>:</p><p><a href="https://interviewquestions.tuteehub.com/tag/equation-974081" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATION">EQUATION</a> at the <a href="https://interviewquestions.tuteehub.com/tag/end-971042" style="font-weight:bold;" target="_blank" title="Click to know more about END">END</a> of step 1</p><p>  ((2x3 -  x2) -  5x) -  2</p><p>STEP</p><p>2</p><p>:</p><p>Checking for a perfect <a href="https://interviewquestions.tuteehub.com/tag/cube-940156" style="font-weight:bold;" target="_blank" title="Click to know more about CUBE">CUBE</a></p><p> 2.1    2x3-x2-5x-2  is not a perfect cube</p><p></p><p>Trying to factor by pulling out :</p><p> 2.2      Factoring:  2x3-x2-5x-2  </p><p></p><p><a href="https://interviewquestions.tuteehub.com/tag/thoughtfully-7716887" style="font-weight:bold;" target="_blank" title="Click to know more about THOUGHTFULLY">THOUGHTFULLY</a> split the expression at hand into groups, each group having two terms :</p><p></p><p>Group 1:  -5x-2  </p><p>Group 2:  2x3-x2  </p><p></p><p>Pull out from each group separately :</p><p></p><p>Group 1:   (5x+2) • (-1)</p><p>Group 2:   (2x-1) • (x2)</p></body></html>


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