InterviewSolution
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InterviewSolution
| 1. |
Divide 6x^5 +4x^4-3x^3-1 by 3x^2-x+1 |
| Answer» <html><body><p><strong>Answer:</strong></p><p>1551</p><p><strong>Step-by-step explanation:</strong></p><p>6x5+4x4-3x3-11-x+3x2</p><p></p><p>Final result :</p><p></p><p>6x5 + 4x4 - 3x3 + 3x2 - x - 11</p><p></p><p>Reformatting the input :</p><p></p><p>Changes <a href="https://interviewquestions.tuteehub.com/tag/made-3718337" style="font-weight:bold;" target="_blank" title="Click to know more about MADE">MADE</a> to your input should not affect the solution:</p><p></p><p>(1): "x2" was replaced by "x^2". 3 more similar replacement(s).</p><p></p><p>Step by step solution :</p><p></p><p>Step 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 end of step 1 :</p><p></p><p>(((((6•(x5))+(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>•(x4)))-(3•(x3)))-11)-x)+3x2</p><p></p><p>Step 2 :</p><p></p><p>Equation at the end of step 2 :</p><p></p><p>(((((6•(x5))+(4•(x4)))-3x3)-11)-x)+3x2</p><p></p><p>Step 3 :</p><p></p><p>Equation at the end of step 3 :</p><p></p><p>(((((6•(x5))+22x4)-3x3)-11)-x)+3x2</p><p></p><p>Step 4 :</p><p></p><p>Equation at the end of step 4 :</p><p></p><p>(((((2•3x5) + 22x4) - 3x3) - 11) - x) + 3x2</p><p></p><p>Step 5 :</p><p></p><p>Trying to factor by pulling out :</p><p></p><p>5.1 Factoring: 6x5+4x4-3x3+3x2-x-11</p><p></p><p>Thoughtfully split the expression at hand into groups, each group having two <a href="https://interviewquestions.tuteehub.com/tag/terms-1242559" style="font-weight:bold;" target="_blank" title="Click to know more about TERMS">TERMS</a> :</p><p></p><p>Group 1: -3x3+3x2</p><p></p><p>Group 2: 6x5+4x4</p><p></p><p>Group 3: -x-11</p><p></p><p>Pull out from each group separately :</p><p></p><p>Group 1: (x-1) • (-3x2)</p><p></p><p>Group 2: (3x+2) • (2x4)</p><p></p><p>Group 3: (x+11) • (-1)</p><p></p><p>Looking for common sub-expressions :</p><p></p><p>Group 1: (x-1) • (-3x2)</p><p></p><p>Group 3: (x+11) • (-1)</p><p></p><p>Group 2: (3x+2) • (2x4</p></body></html> | |