Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
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What is the degree of \(7x^6-4x^3+x-11\)?
C. (6)
सबसे बड़ी घात (6) है। बहुपद की डिग्री सबसे बड़ी घात से मिलती है। / The highest power is (6). The degree of a polynomial is found from the highest power.
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When will the degree of ((a-3)x-4+2x-2-5) be (4)?
B. जब \(a\neq3\)When \(a\neq3\)
डिग्री (4) तभी रहेगी जब \(x^4\) का गुणांक शून्य न हो। इसलिए \(a-3\neq0\) होना चाहिए। / The degree remains (4) only when the coefficient of \(x^4\) is not zero. Hence \(a-3\neq0\).
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If (k=2), what will be the degree of ((k-2)x-5+3x-2-1)?
C. (2)
(k=2) रखने पर \(x^5\) का गुणांक (0) हो जाता है। बची हुई सबसे बड़ी घात (2) है। / Putting (k=2) makes the coefficient of \(x^5\) equal to (0). The remaining highest power is (2).
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Which expression is a polynomial but not a linear polynomial?
B. \(x^2+1\)
\(x^2+1\) बहुपद है और इसकी डिग्री (2) है। रेखीय बहुपद की डिग्री (1) होती है। / \(x^2+1\) is a polynomial and its degree is (2). A linear polynomial has degree (1).
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What is the degree of \(0x^7+4x^3-2x+6\)?
C. (3)
\(0x^7\) पद शून्य हो जाता है। शेष बहुपद में सबसे बड़ी घात (3) है। / The term \(0x^7\) becomes zero. In the remaining polynomial, the highest power is (3).
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Which expression is a polynomial in (x) and has degree (3)?
C. \(-4x^3+\sqrt{5}x+8\)
तीसरा व्यंजक बहुपद है क्योंकि घातें (3), (1) और (0) हैं। सबसे बड़ी घात (3) है। / The third expression is a polynomial because the powers are (3), (1), and (0). The highest power is (3).
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What is the leading coefficient of \(-8x^5+3x^2-4x+9\)?
A. (-8)
अग्रणी पद \(-8x^5\) है। इसलिए अग्रणी गुणांक (-8) है। / The leading term is \(-8x^5\). Therefore the leading coefficient is (-8).
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What is the coefficient of \(x^3\) in \(5x^4+0x^3-7x+2\)?
B. (0)
\(x^3\) पद का गुणांक स्पष्ट रूप से (0) है। शून्य गुणांक वाला पद डिग्री नहीं बदलता। / The coefficient of the \(x^3\) term is clearly (0). A zero-coefficient term does not change the degree.
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For which value will ((m+1)x-3+5x-6) become a linear polynomial?
B. (m=-1)
रेखीय बनने के लिए \(x^3\) का गुणांक (0) होना चाहिए। इसलिए (m+1=0) से (m=-1)। / To become linear, the coefficient of \(x^3\) must be (0). So (m+1=0) gives (m=-1).
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Is it correct to treat \(4x^2+\sqrt{x^2}+1\) as a polynomial in (x)?
B. नहीं क्योंकि \(\sqrt{x^2}=|x|\) होता हैNo because \(\sqrt{x^2}=|x|\)
वास्तविक (x) के लिए \(\sqrt{x^2}=|x|\) होता है। (|x|) बहुपद पद नहीं है। / For real (x), \(\sqrt{x^2}=|x|\). The term (|x|) is not a polynomial term.
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