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If (p(x)=x^6(x^2-7)-x^8+7x^6+31), what is the degree of (p(x))?यदि (p(x)=x^6(x^2-7)-x^8+7x^6+31), तो (p(x)) की डिग्री क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 00
First simplify the expression: \(x^6(x^2-7)=x^8-7x^6\). Hence, \(p(x)=x^8-7x^6-x^8+7x^6+31=31\). This is a non-zero constant polynomial, so its degree is \(0\). Choosing 8 would ignore the cancellation of like terms. Exam tip: always simplify a polynomial completely before finding its degree.पहले व्यंजक को सरल कीजिए: \(x^6(x^2-7)=x^8-7x^6\)। अतः \(p(x)=x^8-7x^6-x^8+7x^6+31=31\)। यह एक शून्येतर अचर बहुपद है, इसलिए इसकी डिग्री \(0\) होती है। विकल्प 8 लेने पर पदों के निरसन को अनदेखा कर दिया जाता है। परीक्षा टिप: डिग्री ज्ञात करने से पहले बहुपद को हमेशा पूरी तरह सरल करें।
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