{"id":134809,"date":"2023-03-21T16:24:00","date_gmt":"2023-03-21T10:54:00","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=134809"},"modified":"2023-03-21T16:24:00","modified_gmt":"2023-03-21T10:54:00","slug":"if-a-%c3%9f-are-zeroes-of-the-quadratic-polynomial-x%c2%b2-5x-6-form-another-quadratic-polynomial-whose-zeroes-are-1-1-%ce%b1%ce%b2","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/quiz\/if-a-%c3%9f-are-zeroes-of-the-quadratic-polynomial-x%c2%b2-5x-6-form-another-quadratic-polynomial-whose-zeroes-are-1-1-%ce%b1%ce%b2","title":{"rendered":"If a, \u1e9e are zeroes of the quadratic polynomial x\u00b2 &#8211; 5x + 6, form another quadratic polynomial whose zeroes are 1 1 \u03b1\u03b2"},"content":{"rendered":"<h2>Question :If a, \u1e9e are zeroes of the quadratic polynomial x\u00b2 &#8211; 5x + 6, form another quadratic polynomial whose zeroes are 1 1 \u03b1\u03b2<\/h2>\n<h3>The correct answer :The given quadratic polynomial is x\u00b2 &#8211; 5x + 6.<\/h3>\n<h3>We know that sum of zeroes (a and \u00df) = a + \u00df = 5 Product of zeroes (a and \u00df) = a\u00df = 6<\/h3>\n<h3>As 1 and 1\/\u03b1 are zeroes of the new polynomial, we can write it as: (x &#8211; 1)(x &#8211; 1\/\u03b1) = 0<\/h3>\n<h3>Multiplying both sides by \u03b1, we get: \u03b1(x &#8211; 1)(\u03b1x &#8211; 1) = 0<\/h3>\n<h3>Expanding the above equation, we get: \u03b1x\u00b2 &#8211; (\u03b1 + 1)x + 1 = 0<\/h3>\n<h3>Therefore, the required quadratic polynomial is \u03b1x\u00b2 &#8211; (\u03b1 + 1)x + 1.<\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Question :If a, \u1e9e are zeroes of the quadratic polynomial x\u00b2 &#8211; 5x + 6, form another quadratic polynomial whose zeroes are 1 1 \u03b1\u03b2 The correct answer :The given quadratic polynomial is x\u00b2 &#8211; 5x + 6. We know that sum of zeroes (a and \u00df) = a + \u00df = 5 Product of [&hellip;]<\/p>\n","protected":false},"author":21842,"featured_media":132233,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-134809","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134809","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21842"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=134809"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134809\/revisions"}],"predecessor-version":[{"id":134810,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134809\/revisions\/134810"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/132233"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=134809"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=134809"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=134809"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}