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A student says that the degree of the polynomial \(P(x)=6x^5-6x^5+4x^2-1\) is 5 because an \(x^5\) term is visible in it. Which is the correct correction to the student's statement?एक विद्यार्थी ने कहा कि बहुपद \(P(x)=6x^5-6x^5+4x^2-1\) की डिग्री 5 है, क्योंकि उसमें \(x^5\) पद दिखाई दे रहा है। विद्यार्थी के कथन का सही सुधार कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: The degree is 2 because \(6x^5-6x^5=0\), leaving \(4x^2-1\).डिग्री 2 है, क्योंकि \(6x^5-6x^5=0\) और शेष बहुपद \(4x^2-1\) है।
The \(x^5\) terms cancel because their coefficients are opposites: \(6x^5-6x^5=0\). The simplified polynomial is \(4x^2-1\), whose highest exponent is 2. Exam tip: always simplify before finding degree.समान \(x^5\) पदों के गुणांक विपरीत होने से वे कट जाते हैं: \(6x^5-6x^5=0\)। सरल रूप \(4x^2-1\) में सबसे बड़ी घात 2 है। परीक्षा टिप: डिग्री निकालने से पहले बहुपद को सरल करें।
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