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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).

Solution not provided.
Ans. $4 straight x squared plus 7 straight x plus 2$

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

Previous Year Papers

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Long Answer Type

Short Answer Type

Long Answer Type

Short Answer Type

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).

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).