अचर बहुपद - Revision history

Ramamurthy: /* अचर बहुपद आरेख */

2024-09-26T15:17:21Z

अचर बहुपद आरेख

← Older revision		Revision as of 20:47, 26 September 2024
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	हम जानते हैं कि (निवेश)इनपुट मान में परिवर्तन के साथ स्थिर निर्गम(आउटपुट) मान नहीं बदलता है। तो, इसमें <math>x-</math>अक्ष के समानांतर एक सीधी रेखा का आरेख(ग्राफ) है। नीचे एक अचर बहुपद का आरेख दिया गया है <math>f(x)=3</math>, <math>x</math> का मान जो भी हो, संबंधित निर्गम(आउटपुट) मान वही रहता है जो <math>3</math> के समान है।		हम जानते हैं कि (निवेश)इनपुट मान में परिवर्तन के साथ स्थिर निर्गम(आउटपुट) मान नहीं बदलता है। तो, इसमें <math>x-</math>अक्ष के समानांतर एक सीधी रेखा का आरेख(ग्राफ) है। नीचे एक अचर बहुपद का आरेख दिया गया है <math>f(x)=3</math>, <math>x</math> का मान जो भी हो, संबंधित निर्गम(आउटपुट) मान वही रहता है जो <math>3</math> के समान है।

	[[Category:बहुपद]][[Category:~~कक्षा-9~~]][[Category:~~गणित~~]]		[[Category:बहुपद]]
			[[Category:गणित]]
			[[Category:कक्षा-9]]

Mani: content added

2024-05-14T04:28:32Z

content added

← Older revision		Revision as of 09:58, 14 May 2024
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	== परिभाषा ==		== परिभाषा ==
	~~A polynomial in algebra with degree zero is called a constant polynomial.~~		बीजगणित में शून्य घात वाले बहुपद को अचर बहुपद कहा जाता है।

	In simple words, we can say that a constant polynomial is a polynomial in algebra whose output value remains the same irrespective of the change in the input values. Some of the examples of a constant polynomial are:

			सरल शब्दों में, हम कह सकते हैं कि बीजगणित में अचर बहुपद एक बहुपद है जिसका निर्गम(आउटपुट) मान (निवेश)इनपुट मानों में परिवर्तन के बाद भी समान रहता है। अचर बहुपद के कुछ उदाहरण इस प्रकार हैं:
	* <math>f(x)=4</math>		* <math>f(x)=4</math>
	* <math>g(x)=\pi</math>		* <math>g(x)=\pi</math>
	== अचर बहुपद आरेख ==		== अचर बहुपद आरेख ==
	[[File:Constant polynomial.jpg\|alt=Constant polynomial\|thumb\|अचर बहुपद]]		[[File:Constant polynomial.jpg\|alt=Constant polynomial\|thumb\|अचर बहुपद]]
	~~We know that constants output value does not change with the change in the input value. So~~, ~~it has a straight line graph parallel to the~~ <math>x-</math>~~axis. Given below is a graph of a constant polynomial~~ <math>f(x)=3</math> ~~Whatever may be the value of~~ <math>x</math>, ~~the corresponding output value remains the same which is equal to~~ <math>3</math>.		हम जानते हैं कि (निवेश)इनपुट मान में परिवर्तन के साथ स्थिर निर्गम(आउटपुट) मान नहीं बदलता है। तो, इसमें <math>x-</math>अक्ष के समानांतर एक सीधी रेखा का आरेख(ग्राफ) है। नीचे एक अचर बहुपद का आरेख दिया गया है <math>f(x)=3</math>, <math>x</math> का मान जो भी हो, संबंधित निर्गम(आउटपुट) मान वही रहता है जो <math>3</math> के समान है।

	[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]

Mani: image added

2024-05-14T04:18:45Z

image added

← Older revision		Revision as of 09:48, 14 May 2024
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	* <math>g(x)=\pi</math>		* <math>g(x)=\pi</math>
	== अचर बहुपद आरेख ==		== अचर बहुपद आरेख ==
	[[File:Constant polynomial.jpg\|alt=Constant polynomial\|thumb\|~~Constant polynomial~~]]		[[File:Constant polynomial.jpg\|alt=Constant polynomial\|thumb\|अचर बहुपद]]
	We know that constants output value does not change with the change in the input value. So, it has a straight line graph parallel to the <math>x-</math>axis. Given below is a graph of a constant polynomial <math>f(x)=3</math> Whatever may be the value of <math>x</math>, the corresponding output value remains the same which is equal to <math>3</math>.		We know that constants output value does not change with the change in the input value. So, it has a straight line graph parallel to the <math>x-</math>axis. Given below is a graph of a constant polynomial <math>f(x)=3</math> Whatever may be the value of <math>x</math>, the corresponding output value remains the same which is equal to <math>3</math>.

	[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]

Mani: content added

2024-05-14T04:18:07Z

content added

← Older revision		Revision as of 09:48, 14 May 2024
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	~~A constant polynomial in algebra is a polynomial whose degree is equal to zero. The standard form of denoting a constant polynomial is~~ <math>f(x)=k</math> ~~where~~ <math>k</math> ~~is a real number. Its graph is a horizontal straight line parallel to the~~ <math>x-</math>~~axis as the value of the constant polynomial~~ <math>f(x~~)=k~~</math> ~~remains the same irrespective of the change in the variable~~ <math>x</math>.		बीजगणित में अचर बहुपद वह बहुपद होता है जिसकी घात शून्य के समान होती है। एक अचर बहुपद को दर्शाने का मानक रूप <math>f(x)=k</math> है जहाँ <math>k</math> एक वास्तविक संख्या है। इसका आरेख <math>x-</math>अक्ष के समानांतर एक क्षैतिज सीधी रेखा है क्योंकि चर <math>x</math> में परिवर्तन के बाद भी अचर बहुपद <math>f(x)=k</math> का मान समान रहता है।

	== ~~Definition~~ ==		== परिभाषा ==
	A polynomial in algebra with degree zero is called a constant polynomial.		A polynomial in algebra with degree zero is called a constant polynomial.

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	* <math>f(x)=4</math>		* <math>f(x)=4</math>
	* <math>g(x)=\pi</math>		* <math>g(x)=\pi</math>
	== ~~Constant Polynomial Graph~~ ==		== अचर बहुपद आरेख ==
	[[File:Constant polynomial.jpg\|alt=Constant polynomial\|thumb\|Constant polynomial]]		[[File:Constant polynomial.jpg\|alt=Constant polynomial\|thumb\|Constant polynomial]]
	We know that constants output value does not change with the change in the input value. So, it has a straight line graph parallel to the <math>x-</math>axis. Given below is a graph of a constant polynomial <math>f(x)=3</math> Whatever may be the value of <math>x</math>, the corresponding output value remains the same which is equal to <math>3</math>.		We know that constants output value does not change with the change in the input value. So, it has a straight line graph parallel to the <math>x-</math>axis. Given below is a graph of a constant polynomial <math>f(x)=3</math> Whatever may be the value of <math>x</math>, the corresponding output value remains the same which is equal to <math>3</math>.

	[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]

Mani at 04:08, 14 May 2024

2024-05-14T04:08:33Z

← Older revision		Revision as of 09:38, 14 May 2024
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			A constant polynomial in algebra is a polynomial whose degree is equal to zero. The standard form of denoting a constant polynomial is <math>f(x)=k</math> where <math>k</math> is a real number. Its graph is a horizontal straight line parallel to the <math>x-</math>axis as the value of the constant polynomial <math>f(x)=k</math> remains the same irrespective of the change in the variable <math>x</math>.

			== Definition ==
			A polynomial in algebra with degree zero is called a constant polynomial.

			In simple words, we can say that a constant polynomial is a polynomial in algebra whose output value remains the same irrespective of the change in the input values. Some of the examples of a constant polynomial are:

			* <math>f(x)=4</math>
			* <math>g(x)=\pi</math>
			== Constant Polynomial Graph ==
			[[File:Constant polynomial.jpg\|alt=Constant polynomial\|thumb\|Constant polynomial]]
			We know that constants output value does not change with the change in the input value. So, it has a straight line graph parallel to the <math>x-</math>axis. Given below is a graph of a constant polynomial <math>f(x)=3</math> Whatever may be the value of <math>x</math>, the corresponding output value remains the same which is equal to <math>3</math>.

	[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]
	~~Constant Polynomials~~

Mani at 06:30, 16 August 2023

2023-08-16T06:30:34Z

← Older revision		Revision as of 12:00, 16 August 2023
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	[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]
			Constant Polynomials

Ramamurthy: Category updated

2023-08-05T06:14:46Z

Category updated

← Older revision		Revision as of 11:44, 5 August 2023
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	~~[[Category:बीजगणित]]~~
	[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]

Sarika at 05:27, 4 August 2023

2023-08-04T05:27:22Z

← Older revision		Revision as of 10:57, 4 August 2023
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	[[Category:बीजगणित]]		[[Category:बीजगणित]]
	[[Category:बहुपद]][[Category:कक्षा-9]]		[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]

Sarika at 05:20, 4 August 2023

2023-08-04T05:20:17Z

← Older revision		Revision as of 10:50, 4 August 2023
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	[[Category:बीजगणित]]		[[Category:बीजगणित]]
	[[Category:बहुपद]]		[[Category:बहुपद]][[Category:कक्षा-9]]

Sarika at 10:50, 18 April 2023

2023-04-18T10:50:34Z

← Older revision		Revision as of 16:20, 18 April 2023
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	~~[[Category:गणित]]~~
	[[Category:बीजगणित]]		[[Category:बीजगणित]]
	[[Category:बहुपद~~]][[Category: कक्षा -9~~]]		[[Category:बहुपद]]