Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Mathematics : Polynomials

Short Answer Type

481. Find a quadratic polynomial whose sum of zeroes and product of zeroes are given below:

4 square root of 2 comma space fraction numerator negative 3 over denominator square root of 2 end fraction

303 Views

Long Answer Type

482. If α. β are the zeroes of the quadratic polynomial x²–x – 2, form an equation whose zeroes are (2a + 1) and (2p + 1).

87 Views

483. If α and β are the zeroes of the quadratic polynomial 2x² – 5x + 7, form an equation whose zeroes are (2α + 3β) and (3α + 2β).

93 Views

484. If α, β are the zeroes of the quadratic polynomial 2x² – 3x + 1, form an equation whose zeroes are

straight alpha over straight beta space and space straight beta over straight alpha.

112 Views

485. It being given that 1 is one of the zeroes of the polynomial f(x) = 7x – x³ – 6 find its other zeroes.

160 Views

Short Answer Type

486. Divide (3x³ – 4x² + 7x – 2) by (2 – x + x²) and verify the division algorithm.

181 Views

Long Answer Type

487. Find all the zeroes of the polynomial 2x⁴ – 10x³ + 5x² + 15x – 12, if its zeroes 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>

415 Views

Short Answer Type

488. Find all the zeroes of the polynomial x³ + 3x² – 4x – 12, if one of its zeroes is –3.

115 Views

489. On dividing the polynomial 4x⁴ – 5x³ – 39x² – 46x – 2 by the polynomial g(x). the quotient is x² – 3x x - 5 and the remainder is –5x + 8. Find the polynomial g(x).

246 Views

490. Apply the division algorithm to find the quotient and the remainder in division of p(x) by g(x) as given below:
p(x) = x² + 11x + 25, g(x) = x + 6.

100 Views