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If (g(x)=2x^6-2x^6+x^4-x^2), what is the degree of (g(x))?यदि (g(x)=2x^6-2x^6+x^4-x^2), तो (g(x)) की डिग्री क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(4\)\(4\)
In the given expression, \(2x^6-2x^6=0\). Thus, \(g(x)=x^4-x^2\), and the highest power of \(x\) remaining is \(4\). Therefore, the degree of the polynomial is \(4\). It is not \(6\) because the \(x^6\) terms cancel each other. Exam tip: Always simplify like terms before finding the degree.दिए गए व्यंजक में \(2x^6-2x^6=0\) हो जाता है। अतः \(g(x)=x^4-x^2\) बचता है, जिसमें \(x\) की सबसे बड़ी घात \(4\) है। इसलिए बहुपद की डिग्री \(4\) है। \(6\) डिग्री नहीं होगी, क्योंकि \(x^6\) वाले पद परस्पर कट जाते हैं। परीक्षा टिप: डिग्री ज्ञात करने से पहले समान पदों को अवश्य सरल करें।
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