{"id":65057,"date":"2018-11-25T13:35:19","date_gmt":"2018-11-25T08:05:19","guid":{"rendered":"https:\/\/hindi.theindianwire.com\/?p=65057"},"modified":"2018-11-25T13:35:19","modified_gmt":"2018-11-25T08:05:19","slug":"%e0%a4%b6%e0%a5%87%e0%a4%b7%e0%a4%ab%e0%a4%b2-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%ae%e0%a5%87%e0%a4%af","status":"publish","type":"post","link":"https:\/\/hindi.theindianwire.com\/%e0%a4%b6%e0%a5%87%e0%a4%b7%e0%a4%ab%e0%a4%b2-%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%ae%e0%a5%87%e0%a4%af-65057\/","title":{"rendered":"\u0936\u0947\u0937\u092b\u0932 \u092a\u094d\u0930\u092e\u0947\u092f : \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u090f\u0935\u0902 \u0909\u0926\u093e\u0939\u0930\u0923"},"content":{"rendered":"\n<h2>\u0936\u0947\u0937\u092b\u0932 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u094d\u092f\u093e \u0939\u0948? (remainder theorem in hindi)<\/h2>\n<p>\u0936\u0947\u0937\u092b\u0932 \u092a\u094d\u0930\u092e\u0947\u092f \u0938\u0947 \u0939\u092e \u0915\u093f\u0938\u0940 \u090f\u0915 \u092c\u0939\u0941\u092a\u0926 \u0915\u094b \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0915\u093f\u092f\u0947 \u0936\u0947\u0937\u092b\u0932 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p>\u091c\u092c \u0939\u092e \u090f\u0915 \u092c\u0939\u0941\u092a\u0926 \u0915\u093e \u092d\u093e\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e \u0909\u0938\u0947 \u0910\u0938\u0947 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 :<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-65103 size-full lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/11\/equa.png\" alt=\"\" width=\"645\" height=\"114\" data-srcset=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/11\/equa.png 645w, https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/11\/equa-300x53.png 300w\" data-sizes=\"(max-width: 645px) 100vw, 645px\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 645px; --smush-placeholder-aspect-ratio: 645\/114;\" \/><\/p>\n<h3>\u0939\u092e 2x<sup>2<\/sup> &#8211; 5x &#8211; 1 \u0915\u094b x &#8211; 3 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902 :<\/h3>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone size-full wp-image-65132 lazyload\" data-src=\"https:\/\/hindi.theindianwire.com\/wp-content\/uploads\/2018\/11\/bhaag-1.jpg\" alt=\"\" width=\"284\" height=\"176\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" style=\"--smush-placeholder-width: 284px; --smush-placeholder-aspect-ratio: 284\/176;\" \/><\/p>\n<div class=\"example\">\n<p>\u091c\u0948\u0938\u093e \u0915\u093f \u0906\u092a\u0928\u0947 \u0926\u0947\u0916\u093e \u0939\u092e\u0947\u0902 \u092d\u093e\u0917 \u0926\u0947\u0928\u0947 \u092a\u0930 2x + 1 \u0909\u0924\u094d\u0924\u0930 \u092f\u093e \u092d\u093e\u0917\u092b\u0932 \u092e\u093f\u0932\u093e \u0932\u0947\u0915\u093f\u0928 \u0907\u0938\u0915\u0947 \u0938\u093e\u0925 \u0939\u0940 2 \u0936\u0947\u0937\u092b\u0932 \u092d\u0940 \u092e\u093f\u0932\u093e\u0964<\/p>\n<ul>\n<li>q(x) = 2x + 1<\/li>\n<li>r(x) = 2<\/li>\n<\/ul>\n<p>\u0939\u092e \u0907\u0938\u0947 f(x) = d(x) . q(x) + r(x) \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0910\u0938\u0947 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 :<\/p>\n<p>2x<sup>2<\/sup> &#8211; 5x &#8211; 1 = (x-3)(2x + 1) + 2<\/p>\n<h2>\u0936\u0947\u0937\u092b\u0932 \u092a\u094d\u0930\u092e\u0947\u092f (remainder theorem examples)<\/h2>\n<p>\u091c\u092c \u0939\u092e f(x) \u0915\u094b \u090f\u0915 \u0938\u093e\u0927\u093e\u0930\u0923 \u092c\u0939\u0941\u092a\u0926 x &#8211; c \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e\u0947\u0902 \u092f\u0939 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 :<\/p>\n<p style=\"text-align: center;\"><strong>f(x) = (x &#8211; c) . q(x) + r(x)<\/strong><\/p>\n<p>\u091c\u0948\u0938\u093e \u0939\u092e \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f x &#8211; c \u0915\u093f \u0921\u093f\u0917\u094d\u0930\u0940 1 \u0939\u0948 \u0924\u094b r(x) \u0915\u0940 \u0921\u093f\u0917\u094d\u0930\u0940 0 \u0939\u094b\u0928\u0940 \u091a\u093e\u0939\u093f\u090f \u091c\u093f\u0938\u0938\u0947 \u092f\u0947 r \u090f\u0915 constant \u0939\u094b \u091c\u093e\u090f\u0917\u093e\u0964<\/p>\n<p style=\"text-align: center;\"><strong>f(x) = (x &#8211; c) . q(x) + r<\/strong><\/p>\n<p>\u0905\u092c \u0939\u092e \u0926\u0947\u0916\u0947\u0902\u0917\u0947 \u0915\u0940 r \u0915\u094b c \u0915\u0947\u00a0 \u092c\u0930\u093e\u092c\u0930 \u0930\u0916\u0928\u0947 \u0938\u0947 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e :<\/p>\n<p style=\"text-align: center;\"><strong>f(c) = (c &#8211; c) . q(c) + r<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>f(c) = (0) . q(c) + r<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>f(c) = r<\/strong><\/p>\n<p>\u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u0940 \u091c\u092c \u0939\u092e \u090f\u0915 \u092c\u0939\u0941\u092a\u0926 f(x) \u0915\u094b x &#8211; c \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0936\u0947\u0937\u092b\u0932 f(c) \u0906\u0924\u093e \u0939\u0948\u0964<\/p>\n<p>\u0924\u094b \u0905\u092c \u0939\u092e\u0947\u0902 \u092a\u0924\u093e \u091a\u0932 \u0917\u092f\u093e \u0939\u0948 \u0915\u0940 \u0905\u0917\u0930 \u0939\u092e\u0947\u0902 \u0936\u0947\u0937\u092b\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u093e \u0939\u0948 \u0924\u094b \u0939\u092e\u0947\u0902 \u0905\u0938\u0932 \u092e\u0947\u0902 \u092d\u093e\u0917 \u0915\u0930\u0928\u0947 \u0915\u093f \u095b\u0930\u0941\u0930\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948 \u0939\u092e\u0947\u0902 \u092c\u0938 f(c) \u0922\u0942\u0901\u0922\u0928\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0935\u0939 \u0936\u0947\u0937\u092b\u0932 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<h3>\u0905\u0928\u094d\u092f \u0909\u0926\u093e\u0939\u0930\u0923 :<\/h3>\n<p><strong>\u090f\u0915 \u092c\u0939\u0941\u092a\u0926 2x<sup>2<\/sup> &#8211; 5x &#8211; 1 \u0915\u094b x &#8211; 3 \u0938\u0947 \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0926\u093f\u090f \u0936\u0947\u0937\u092b\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 :<\/strong><\/p>\n<ul>\n<li>\u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e\u0928\u0947 \u090a\u092a\u0930 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0926\u0947\u0916\u093e \u0925\u093e \u0915\u0940 \u0936\u0947\u0937\u092b\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915\u0924\u093e \u092e\u0947\u0902 x &#8211; 3 \u0938\u0947 \u092d\u093e\u0917 \u0928\u0939\u0940\u0902 \u0926\u0947\u0928\u093e \u0939\u094b\u0917\u093e \u092c\u0938 \u0939\u092e\u0947\u0902 f(3) \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u093e \u0939\u094b\u0917\u093e \u0914\u0930 \u0936\u0947\u0937\u092b\u0932 \u0909\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0917\u093e\u0964<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><strong>f(x)\u00a0 =\u00a0 2x<sup>2<\/sup> &#8211; 5x &#8211; 1<\/strong><\/p>\n<ul>\n<li style=\"text-align: left;\">f(3) \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u092e\u0947\u0902 \u092a\u0942\u0930\u0947 \u092c\u0939\u0941\u092a\u0926 \u092e\u0947\u0902 x \u0915\u093f \u091c\u0917\u0939 3 \u0930\u0916\u0928\u093e \u0939\u094b\u0917\u093e \u090f\u0935\u0902 \u0939\u0932 \u0915\u0930\u0928\u093e \u0939\u094b\u0917\u093e\u0964<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><strong>f(3) = 2(3)<sup>2<\/sup> &#8211; 5(3) &#8211; 1 <\/strong><\/p>\n<p style=\"text-align: center;\"><strong>= 2*9 &#8211; 5*3 &#8211; 1<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>\u00a0= 18 -15 -1<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>= 2<\/strong><\/p>\n<ul>\n<li>\u0905\u0924\u0903 \u0907\u0938\u0915\u093e \u0936\u0947\u0937\u092b\u0932 \u0939\u092e\u0928\u0947 \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0926\u093f\u090f \u0939\u0940 \u0928\u093f\u0915\u093e\u0932 \u0932\u093f\u092f\u093e \u0939\u0948 \u091c\u094b \u0915\u093f 2 \u0939\u0948 .\u0924\u094b \u091c\u0948\u0938\u093e \u0915\u093f \u0906\u092a \u0938\u092e\u091d \u0917\u090f \u0939\u094b\u0902\u0917\u0947 \u0938\u0939\u0947\u0936\u094d\u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u092e\u0947\u0902 \u0905\u0938\u0932 \u092e\u0947\u0902 \u092d\u093e\u0917 \u0928\u0939\u0940\u0902 \u0926\u0947\u0928\u093e \u092a\u095c\u0924\u093e \u0907\u0938\u0947 \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0926\u093f\u090f \u092d\u0940 \u091c\u094d\u091e\u093e\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p><strong>\u090f\u0915 \u092c\u0939\u0941\u092a\u0926 2x<sup>2<\/sup> &#8211; 5x &#8211; 1 \u0915\u094b x &#8211; 5 \u0938\u0947 \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0926\u093f\u090f \u0936\u0947\u0937\u092b\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 :<\/strong><\/p>\n<ul>\n<li>\u091c\u0948\u0938\u093e \u0915\u093f \u0906\u092a \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0939\u092e\u0947\u0902 \u090f\u0915 \u092c\u0939\u0941\u092a\u0926 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u090f\u0935\u0902 \u0939\u092e\u0947\u0902 \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0926\u093f\u090f \u0909\u0938\u0915\u093e \u0936\u0947\u0937\u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u093e \u0939\u0948\u0964 \u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e\u0928\u0947 \u090a\u092a\u0930 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0926\u0947\u0916\u093e \u0925\u093e \u0915\u093f \u0939\u092e \u0936\u0947\u0937\u092b\u0932 \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0915\u0930\u0947 \u092d\u0940 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u0938\u0915\u0947 \u0932\u093f\u090f \u0939\u092e\u0947\u0902 \u092c\u0938 f(c) \u0928\u093f\u0915\u093e\u0932\u0928\u093e \u092a\u095c\u0947\u0917\u093e\u0964 \u0924\u094b \u091a\u0932\u093f\u090f \u0939\u092e \u0907\u0938 \u092c\u0939\u0941\u092a\u0926 \u0915\u093e f(c) \u0928\u093f\u0915\u093e\u0932\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<p style=\"text-align: center;\">f(x) =\u00a0\u00a0<strong>2x<sup>2<\/sup> &#8211; 5x &#8211; 1 , c = 5<\/strong><\/p>\n<ul>\n<li>\u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e \u090a\u092a\u0930 \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u0940 c 5 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964 \u0924\u094b \u0905\u092c \u0939\u092e\u0947\u0902 c \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092c\u0939\u0941\u092a\u0926 \u092e\u0947\u0902 \u0938\u092d\u0940 x \u0915\u093f \u091c\u0917\u0939 \u092a\u0930 5 \u0932\u0917\u093e\u0928\u093e \u0939\u094b\u0917\u093e \u0907\u0938\u0938\u0947 f(c) \u0906 \u091c\u093e\u090f\u0917\u093e\u0964<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><strong>f(5) = 2(5)<sup>2<\/sup> &#8211; 5(5) &#8211; 1 = 2*25 &#8211; 5*5 -1<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>= 50 &#8211; 25 -1\u00a0<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>= 24<\/strong><\/p>\n<ul>\n<li>\u0924\u094b \u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e\u0928\u0947 \u0926\u0947\u0916\u093e \u0915\u0940 x \u0915\u093f \u091c\u0917\u0939 c \u0930\u0916\u0928\u0947 \u0938\u0947 \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 24 \u0906 \u0917\u092f\u093e \u091c\u094b\u0915\u093f f(c) \u0939\u0948\u0964 \u091c\u0948\u0938\u093e \u0915\u093f \u0939\u092e \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f f(c) \u0936\u0947\u0937\u092b\u0932 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0905\u0924\u0903 \u0936\u0947\u0937\u092b\u0932 24 \u0939\u094b\u0917\u093e\u0964 \u090f\u0915 \u0914\u0930 \u092c\u093e\u0930 \u0939\u092e\u0928\u0947 \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0926\u093f\u090f \u0936\u0947\u0937\u092b\u0932 \u0928\u093f\u0915\u093e\u0932 \u0926\u093f\u092f\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p><em>\u0907\u0938 \u0932\u0947\u0916 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u092f\u0926\u093f \u0906\u092a\u0915\u093e \u0915\u094b\u0908 \u092d\u0940 \u0938\u0935\u093e\u0932 \u092f\u093e \u0938\u0941\u091d\u093e\u0935 \u0939\u0948, \u0924\u094b \u0906\u092a \u0909\u0938\u0947 \u0928\u0940\u091a\u0947 \u0915\u092e\u0947\u0902\u091f \u092e\u0947\u0902 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/em><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0936\u0947\u0937\u092b\u0932 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u094d\u092f\u093e \u0939\u0948? (remainder theorem in hindi) \u0936\u0947\u0937\u092b\u0932 \u092a\u094d\u0930\u092e\u0947\u092f \u0938\u0947 \u0939\u092e \u0915\u093f\u0938\u0940 \u090f\u0915 \u092c\u0939\u0941\u092a\u0926 \u0915\u094b \u092c\u093f\u0928\u093e \u092d\u093e\u0917 \u0915\u093f\u092f\u0947 \u0936\u0947\u0937\u092b\u0932 \u0928\u093f\u0915\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u091c\u092c \u0939\u092e \u090f\u0915 \u092c\u0939\u0941\u092a\u0926 \u0915\u093e \u092d\u093e\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0939\u092e \u0909\u0938\u0947 \u0910\u0938\u0947 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 : \u0939\u092e 2&#215;2 &#8211; 5x &#8211; 1 \u0915\u094b x &#8211; 3 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902 : \u091c\u0948\u0938\u093e [&hellip;]<\/p>\n","protected":false},"author":34,"featured_media":65211,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6348],"tags":[],"yst_prominent_words":[],"class_list":["post-65057","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts\/65057","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/comments?post=65057"}],"version-history":[{"count":0,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/posts\/65057\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/media\/65211"}],"wp:attachment":[{"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/media?parent=65057"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/categories?post=65057"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/tags?post=65057"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/hindi.theindianwire.com\/wp-json\/wp\/v2\/yst_prominent_words?post=65057"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}