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.
Showing 311-320 of 700 questions.
Which expression is a linear polynomial in (z)?
D. (8z-3)
रैखिक बहुपद की घात (1) होती है। (8z-3) में सबसे बड़ी घात (1) है। / A linear polynomial has degree (1). In (8z-3), the highest power is (1).
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Which statement is correct for \(5x^2-\pi x+\sqrt{3}\)?
C. यह बहुपद है और डिग्री (2) हैIt is a polynomial and degree is (2)
\(\pi\) और \(\sqrt{3}\) वास्तविक गुणांक हैं। (x) की घातें (2), (1), और (0) हैं। / \(\pi\) and \(\sqrt{3}\) are real coefficients. The powers of (x) are (2), (1), and (0).
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In \(4x^5-7x^3+2\), what are the coefficients of \(x^4\) and (x) respectively?
B. (0) और (0)(0) and (0)
इस बहुपद में \(x^4\) और (x) पद नहीं हैं। अनुपस्थित पदों के गुणांक (0) माने जाते हैं। / The \(x^4\) and (x) terms are absent in this polynomial. Coefficients of absent terms are taken as (0).
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If (p(x)=6x-4+0x-6-3x-2+5), what is the degree of (p(x))?
B. (4)
\(0x^6\) शून्य पद है इसलिए घात तय नहीं करता। सबसे बड़ी अशून्य घात (4) है। / \(0x^6\) is a zero term, so it does not determine the degree. The highest non-zero power is (4).
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Which option is not a polynomial in its original form because the variable is in the denominator?
B. \(\frac{x^2+4}{x+1}\)
\(\frac{x^2+4}{x+1}\) में चर हर में है। ऐसा मूल व्यंजक बहुपद की परिभाषा को पूरा नहीं करता। / In \(\frac{x^2+4}{x+1}\), the variable is in the denominator. Such an original expression does not satisfy the definition of a polynomial.
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What is the degree of \(x^0+3x^2-2x\)?
C. (2)
\(x^0=1\) होता है और सबसे बड़ी घात (2) है। इसलिए डिग्री (2) है। / \(x^0=1\), and the highest power is (2). Therefore the degree is (2).
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What is the degree of (7) as a polynomial?
D. (0)
(7) शून्य से अलग स्थिर बहुपद है। ऐसे बहुपद की घात (0) होती है। / (7) is a non-zero constant polynomial. Such a polynomial has degree (0).
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Which option correctly shows a polynomial in (x) and its degree?
A. \(x^4+x\), घात (4)\(x^4+x\), degree (4)
\(x^4+x\) में घातें (4) और (1) हैं। यह बहुपद है और इसकी घात (4) है। / In \(x^4+x\), the powers are (4) and (1). It is a polynomial and its degree is (4).
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Why is \(x^2+2x^{3/2}+5\) not a polynomial?
D. क्योंकि (x^{32}) की घात पूर्णांक नहीं है / Because the power in \(x^{3 / 2}\) is not an integer
बहुपद में चर की घातें पूर्णांक होनी चाहिए। \(x^{3/2}\) में घात \(\frac{3}{2}\) है। / In a polynomial, powers of the variable must be integers. In \(x^{3/2}\), the power is \(\frac{3}{2}\).
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Which expression is a polynomial in (x) if (k) is treated as a constant?
A. \(kx^3-2x+8\)
(k) स्थिर की तरह गुणांक है। (x) की घातें (3), (1) और (0) हैं इसलिए यह बहुपद है। / (k) acts like a constant coefficient. The powers of (x) are (3), (1), and (0), so it is a polynomial.
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