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Message: <blockquote data-quote="Henry L" data-source="post: 16825207" data-attributes="member: 260809"><p><span style="font-size: 18px">2x^4-4x^3+7x+1/(x+2)</span></p><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px">I don't know how to type steps.I'll somehow try to explain.</span></p><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px"></span></p><ul> <li data-xf-list-type="ul"><span style="font-size: 18px">step 1 => divide 2x^4 by x you get <span style="color: Red">2x^3</span></span></li> <li data-xf-list-type="ul"><span style="font-size: 18px">then multiply 2x^3 by x and then +2 you get 2x^4 + 4x</span></li> <li data-xf-list-type="ul"><span style="font-size: 18px">and then (2x^4-4x^3+7x+1) - (2x^4+4x) = -8x^3+7x+1</span></li> </ul><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px"></span></p><ul> <li data-xf-list-type="ul"><span style="font-size: 18px">step 2 => divide -8x^3 by x you get <span style="color: Red">-8x^2</span></span></li> <li data-xf-list-type="ul"><span style="font-size: 18px">then multiply -8x^2 by x and then +2 you get -8x^3-16x^2</span></li> <li data-xf-list-type="ul"><span style="font-size: 18px">and then (-8x^3+7x+1) - (-8x^3-16x^2) = 16x^2+7x+1</span></li> </ul><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px"></span></p><ul> <li data-xf-list-type="ul"><span style="font-size: 18px">step 3 => divide 16x^2 by x you get <span style="color: Red">+16x</span></span></li> <li data-xf-list-type="ul"><span style="font-size: 18px">then multiply +16x by x and then +2 you get 16x^2 + 32x</span></li> <li data-xf-list-type="ul"><span style="font-size: 18px">and then (16x^2+7x+1) - (16x^2 + 32x) = -25x + 1</span></li> </ul><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px"></span></p><ul> <li data-xf-list-type="ul"><span style="font-size: 18px">step 4 => divide -25x by x you get <span style="color: Red">-25</span></span></li> <li data-xf-list-type="ul"><span style="font-size: 18px">then multiply -25 by x and then +2 you get -25x-50</span></li> <li data-xf-list-type="ul"><span style="font-size: 18px">and then (-25x + 1) - (-25x-50) = <span style="color: Blue">51</span></span></li> </ul><p><span style="font-size: 18px"></span></p><p><span style="font-size: 18px">So the answer is (which is in red color) = <span style="color: Green">2x^3-8x^2+16x-25</span></span></p><p><span style="font-size: 18px">remainder is (which is blue color) = <span style="color: Green">51</span></span></p><p></p><p><span style="font-size: 18px">Hope this helps <img src="/styles/default/xenforo/smilies/default/happy.gif"  class="smilie" loading="lazy" alt=":)" title="Happy    :)" data-shortname=":)" /></span></p></blockquote><p></p>

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