Turito Academy

Test Prep

Global form fields

<ul>
<li>We have been given a polynomial in the question</li>
<li>We have to factor out the GCF of the given polynomial.</li>
</ul>Step 1 of 1: We have to find the GCD of the given polynomial <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHEAAAARCAYAAADqikOKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAeFJREFUeNpjYCAd/IfiX0B8AYjdGIYGQHb3USBWYRgFYKABxA+HmJuZgDgLiM+NRh8iQN4NUbf/GI0+BgZhIJ4CxIlD0O32QHxwpEcgrH6JpbH52DClQBJaJyrRwN3WQLwGiD8htRmiKVBHc8AHxK1AnEajSKQFUAPiLdCIpAUA5e5IIOaB8rWgCSaSTHWDsm75P4CRCIq4bdDER08gD8SXqKgOL0gG4g4s4s1QOWzAFojPDHAkEuvubdDW9GBO6D+oES+gZrc4Ej8R2njBVl+BLNwBTUEDnRNJcTc161digCW0qKREHTH+gwMPIO6Dsl2AeO8A1XWwTvknaA4qQqo/BsLd5AIOID4JbchQoo5k/+2GNsEvQLsRtGplEpMbWIDYGIhrgfgGgeJwMLkbBASBeAMD4REtYtWR5L8CaC7QG2StTjcCfTtauptUoASNGBUqqSPJf7D+Sx+NmruU1kM/BsjdpABQaTEbiLmopI4k/4FSxSaooTzQVqfwIIpEHSC+O0DuJhaAGh+roNUANdSR5D9RaAMCWdIHiBcPUCSug7bWmKDYAxqBQQPkbmLBFiK7McSqI9p/bNBAk8ZiyHJoANIbhALxLSD+wwAZYAelWtMh4G5iG0LEqBuM/hsFtAIAS0Wvz9MDctYAAAC7dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPng8L21pPjxtbj4zPC9tbj48L21zdXA+PG1vPis8L21vPjxtbj41PC9tbj48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtbj4yMjwvbW4+PG1pPng8L21pPjwvbWF0aD67CzFDAAAAAElFTkSuQmCC" class="Wirisformula" alt="x cubed plus 5 x squared minus 22 x" width="113" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«mn»22«/mn»«mi»x«/mi»«/math»'/>. Now we will factorize the given polynomial and extract the greatest factor from it. So,  <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHEAAAARCAYAAADqikOKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAeFJREFUeNpjYCAd/IfiX0B8AYjdGIYGQHb3USBWYRgFYKABxA+HmJuZgDgLiM+NRh8iQN4NUbf/GI0+BgZhIJ4CxIlD0O32QHxwpEcgrH6JpbH52DClQBJaJyrRwN3WQLwGiD8htRmiKVBHc8AHxK1AnEajSKQFUAPiLdCIpAUA5e5IIOaB8rWgCSaSTHWDsm75P4CRCIq4bdDER08gD8SXqKgOL0gG4g4s4s1QOWzAFojPDHAkEuvubdDW9GBO6D+oES+gZrc4Ej8R2njBVl+BLNwBTUEDnRNJcTc161digCW0qKREHTH+gwMPIO6Dsl2AeO8A1XWwTvknaA4qQqo/BsLd5AIOID4JbchQoo5k/+2GNsEvQLsRtGplEpMbWIDYGIhrgfgGgeJwMLkbBASBeAMD4REtYtWR5L8CaC7QG2StTjcCfTtauptUoASNGBUqqSPJf7D+Sx+NmruU1kM/BsjdpABQaTEbiLmopI4k/4FSxSaooTzQVqfwIIpEHSC+O0DuJhaAGh+roNUANdSR5D9RaAMCWdIHiBcPUCSug7bWmKDYAxqBQQPkbmLBFiK7McSqI9p/bNBAk8ZiyHJoANIbhALxLSD+wwAZYAelWtMh4G5iG0LEqBuM/hsFtAIAS0Wvz9MDctYAAAC7dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPng8L21pPjxtbj4zPC9tbj48L21zdXA+PG1vPis8L21vPjxtbj41PC9tbj48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtbj4yMjwvbW4+PG1pPng8L21pPjwvbWF0aD67CzFDAAAAAElFTkSuQmCC" class="Wirisformula" alt="x cubed plus 5 x squared minus 22 x" width="113" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«mn»22«/mn»«mi»x«/mi»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="x open parentheses x squared plus 5 x minus 22 close parentheses" width="115" height="18" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mfenced separators=¨|¨»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mn»22«/mn»«/mrow»«/mfenced»«/math»'/> So, The GCD of this polynomial will be x.

Factor out the GCF from the given polynomial. <img src="data:image/png;base64,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" class="Wirisformula" alt="x cubed plus 5 x squared minus 22 x" width="113" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«mn»22«/mn»«mi»x«/mi»«/math»'/>

Solution for the question - factor out the gcf from the given polynomial. x^(3)+5x^(2)-22 x