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Which of the following expressions is a polynomial of degree 4 in the variable \(x\)?चर \(x\) में निम्नलिखित में से कौन-सा व्यंजक चतुर्थ घात का बहुपद है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(7x^4-3x+1\)\(7x^4-3x+1\)
In \(7x^4-3x+1\), the highest exponent of \(x\) is 4 and all exponents are non-negative integers, so it is a fourth-degree polynomial. \(x^4+\frac{1}{x}\) contains \(x^{-1}\), so it is not a polynomial. Exam tip: check every exponent.\(7x^4-3x+1\) में \(x\) की सबसे बड़ी घात 4 है और सभी घातें अशून्य पूर्णांक हैं, इसलिए यह चतुर्थ घात का बहुपद है। \(x^4+\frac{1}{x}\) में \(x^{-1}\) आता है। परीक्षा टिप: प्रत्येक पद की घात जाँचें।
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