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Factorise 2x cube+7x square+7x+2 step by step​

Answer» <html><body><p><strong>Answer:</strong></p><p>i hope this is helpful for you</p><p><strong>Step-by-step explanation:</strong></p><p>Equation at the end of step 1</p><p>  (((2 • (<a href="https://interviewquestions.tuteehub.com/tag/x3-1463140" style="font-weight:bold;" target="_blank" title="Click to know more about X3">X3</a>)) -  7x2) -  7x) +  2  = <a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>  </p><p> STEP  </p><p>2</p><p> :</p><p>Equation at the end of step</p><p>2</p><p>:</p><p>  ((<a href="https://interviewquestions.tuteehub.com/tag/2x3-301259" style="font-weight:bold;" target="_blank" title="Click to know more about 2X3">2X3</a> -  7x2) -  7x) +  2  = 0  </p><p>STEP</p><p>3</p><p>:</p><p>Checking for a perfect cube</p><p> 3.1    2x3-7x2-7x+2  is not a perfect cube</p><p></p><p>Trying to factor by pulling out :</p><p> 3.2      Factoring:  2x3-7x2-7x+2  </p><p></p><p>Thoughtfully split the expression at hand into groups, each group having two terms :</p><p></p><p>Group 1:  -7x+2  </p><p>Group 2:  -7x2+2x3  </p><p></p><p>Pull out from each group <a href="https://interviewquestions.tuteehub.com/tag/separately-7264663" style="font-weight:bold;" target="_blank" title="Click to know more about SEPARATELY">SEPARATELY</a> :</p><p></p><p>Group 1:   (-7x+2) • (1) = (7x-2) • (-1)</p><p>Group 2:   (2x-7) • (x2)</p><p></p><p>Bad news !! Factoring by pulling out fails :</p><p></p><p>The groups have no common factor and can not be added up to form a multiplication.</p></body></html>


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