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Which linear polynomial decreases as the value of its variable increases?किस रैखिक बहुपद का मान चर बढ़ने पर घटता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(-3x+7\)\(-3x+7\)
For a linear polynomial \(ax+b\), the sign of coefficient \(a\) determines its direction of change. In \(-3x+7\), the coefficient is \(-3\), so its value decreases as \(x\) increases. A positive coefficient, as in \(5x+2\), indicates growth. Exam tip: check the coefficient of \(x\) first.रैखिक बहुपद \(ax+b\) में \(x\) बढ़ने पर परिवर्तन की दिशा गुणांक \(a\) तय करता है। \(-3x+7\) में \(x\) का गुणांक \(-3\) है, इसलिए इसका मान घटता है। \(5x+2\) जैसे धनात्मक गुणांक वाले बहुपद बढ़ते हैं। परीक्षा टिप: पहले \(x\) का गुणांक पहचानें।
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