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 (13x+2)?
B. (1)
सबसे बड़ी घात (1) है। इसलिए (13x+2) की डिग्री (1) है। / The highest power is (1). Therefore the degree of (13x+2) is (1).
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What is the degree of the non-zero constant polynomial (23)?
A. (0)
अशून्य नियतांक बहुपद की डिग्री (0) होती है। (23) को \(23x^0\) माना जा सकता है। / A non-zero constant polynomial has degree (0). (23) can be considered as \(23x^0\).
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C. शून्य बहुपद की डिग्री परिभाषित नहीं है और अशून्य नियतांक की डिग्री (0) हैZero polynomial degree is not defined and non-zero constant degree is (0)
शून्य बहुपद की डिग्री परिभाषित नहीं होती। अशून्य नियतांक बहुपद की डिग्री (0) होती है। / The degree of the zero polynomial is not defined. The degree of a non-zero constant polynomial is (0).
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In which option are all powers valid for a polynomial?
A. \(x^5+x^2+1\)
\(x^5+x^2+1\) में घातें (5), (2), और (0) हैं। ये सभी बहुपद के लिए मान्य हैं। / In \(x^5+x^2+1\), the powers are (5), (2), and (0). All are valid for a polynomial.
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What is the leading term of \(-3x^4+2x^2-5x+1\)?
A. \(-3x^4\)
सबसे बड़ी घात वाला पद अग्रणी पद होता है। यहां सबसे बड़ी घात (4) है। / The term with the highest power is the leading term. Here the highest power is (4).
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What is the leading coefficient of \(-7x^3+4x-2\)?
A. (-7)
अग्रणी पद \(-7x^3\) है। इसलिए अग्रणी गुणांक (-7) है। / The leading term is \(-7x^3\). Therefore the leading coefficient is (-7).
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Is \(5x^2-\frac{2}{x}\) a polynomial or not?
B. नहीं, क्योंकि \(\frac{2}{x}\) में चर हर में हैNo, because in \(\frac{2}{x}\) the variable is in the denominator
\(\frac{2}{x}\) में (x) की घात (-1) है। इसलिए यह व्यंजक बहुपद नहीं है। / In \(\frac{2}{x}\), the power of (x) is (-1). Therefore this expression is not a polynomial.
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Which is a monomial but not a polynomial?
A. \(\frac{3}{x}\)
\(\frac{3}{x}\) एक पद है लेकिन इसमें (x) की घात (-1) है। इसलिए यह बहुपद नहीं है। / \(\frac{3}{x}\) has one term but the power of (x) is (-1). Therefore it is not a polynomial.
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What is the simplified form of \(3x^2+0x-7\)?
A. \(3x^2-7\)
(0x=0), इसलिए \(3x^2+0x-7=3x^2-7\)। शून्य गुणांक वाला पद हट सकता है। / (0x=0), so \(3x^2+0x-7=3x^2-7\). A term with zero coefficient can be removed.
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In which polynomial is the coefficient of \(x^3\) equal to (0)?
B. \(4x^2+x+6\)
\(4x^2+x+6\) में \(x^3\) पद नहीं है। इसलिए \(x^3\) का गुणांक (0) माना जाता है। / In \(4x^2+x+6\), the \(x^3\) term is absent. So the coefficient of \(x^3\) is taken as (0).
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