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    Polynomials
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    Obtain all other zeroes of 3x4 + 6x3 – 2x2 - 10x - 5, if two of its zerores are square root of 5 over 3 end root space and space minus square root of 5 over 3 end root.

    Let <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre> and straight alpha space equals space square root of 5 over 3 end root comma space space space space straight beta space equals space minus square root of 5 over 3 end root
    ∵         square root of 5 over 3 end root space and space minus square root of 5 over 3 end root are zeroes of  p(x), then 
            open parentheses straight x minus square root of 5 over 3 end root close parentheses open parentheses straight x plus square root of 5 over 3 end root close parentheses equals open parentheses straight x squared minus 5 over 3 close parentheses is a factor of p(x).
           Now by applying division algorithm:
        Let  and ∵          are zeroes of  p(x), then       ?
    Therefore. the zeroes of the given fourth degree polynomial p(x) are
                 <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>

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    Answer
    Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm.
    x2 + 3x + 1, 3x4 + 5x3 – 7x2 + 2x + 2
    Here, the remainder is zero, hence x2 + 3x + 1 is a factor of 3x4 +

    Here, the remainder is zero, hence x2 + 3x + 1 is a factor of 3x4 + 5x3 – 1x2 + 2x + 2.
    169 Views
    Answer
    Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm.
    x3 – 3x + 1, x5 –4x3 + x2 + 3x + 1.
    Here, remainder is not zero, hence x3 – 3x + 1 is not a factor of
    Here, remainder is not zero, hence x3 – 3x + 1 is not a factor of x5 – 4x3 + x2 + 3x + 1.
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    Answer
    Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm.
    t2 – 3,  2t4 + 3t3 – 2t2–9t – 12
    Here, the remainder is zero, hence t2 – 3 is a factor of 2r4 + 3t

    Here, the remainder is zero, hence t2 – 3 is a factor of 2r4 + 3t3 – 2t2 – 9t – 12.
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    Answer
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    Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :
    p(x) = x    4 – 5x + 6,      g(x) = 2 – x2.

    Hence, here quotient is - (x2 + 2) and remainder is – 5x + 10.

    Hence, here quotient is - (x2 + 2) and remainder is – 5x + 10.
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