Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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What is the degree of the polynomial (\(x^3+1\)\(x^2-4\))?
C. (5)
गुणन में सबसे बड़ी घात \(x^3\cdot x^2=x^5\) से आती है। इसलिए डिग्री (5) है। / In multiplication, the highest power comes from \(x^3\cdot x^2=x^5\). Therefore the degree is (5).
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What is the degree of the polynomial ((x-2)(x+3))?
B. (2)
गुणनफल \(x^2+x-6\) है। इसमें सबसे बड़ी घात (2) है। / The product is \(x^2+x-6\). Its highest power is (2).
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If a polynomial has degree (1), what type of polynomial is it called?
B. रेखीय बहुपदLinear polynomial
डिग्री (1) वाला बहुपद रेखीय बहुपद कहलाता है। डिग्री देखकर बहुपद का प्रकार पहचानें। / A polynomial of degree (1) is called a linear polynomial. Identify the type by its degree.
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If (f(x)=2x-5-5x-5+3x-2-8), what is the degree of (f(x))?
A. (5)
सरल करने पर \(-3x^5+3x^2-8\) मिलता है। सबसे बड़ी घात (5) है। / On simplifying, we get \(-3x^5+3x^2-8\). The highest power is (5).
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What is the total degree of the polynomial \(5x^2y^3+4xy-6\)?
C. (5)
पद \(5x^2y^3\) की कुल घात (2+3=5) है। यही सबसे बड़ी कुल घात है। / The total power of the term \(5x^2y^3\) is (2+3=5). This is the highest total power.
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What is the total degree of \(7x^3y^2-2xy^4+10\)?
C. (5)
पहले पद की कुल घात (3+2=5) और दूसरे पद की (1+4=5) है। इसलिए कुल डिग्री (5) है। / The total power of the first term is (3+2=5) and of the second term is (1+4=5). Therefore the total degree is (5).
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With respect to (x), what is the degree of \(4x^3y^2+6xy^5-2\)?
C. (3)
(x) के संदर्भ में (y) को गुणांक जैसा मानते हैं। (x) की सबसे बड़ी घात (3) है। / With respect to (x), (y) is treated like a coefficient. The highest power of (x) is (3).
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With respect to (y), what is the degree of \(4x^3y^2+6xy^5-2\)?
D. (5)
(y) की सबसे बड़ी घात (5) है। इसलिए (y) के संदर्भ में डिग्री (5) है। / The highest power of (y) is (5). Therefore the degree with respect to (y) is (5).
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What is the degree of \(0x^9+0x^6-12\)?
C. (0)
शून्य गुणांक वाले पद हट जाते हैं और (-12) बचता है। (-12) अशून्य नियतांक बहुपद है जिसकी डिग्री (0) है। / Terms with zero coefficients disappear and (-12) remains. (-12) is a non-zero constant polynomial of degree (0).
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If the degree of ((t+4)x-3+(t-1)x-2+5) is (2), which value of (t) can be correct?
A. (t=-4)
डिग्री (2) के लिए \(x^3\) पद हटना चाहिए और \(x^2\) पद बचना चाहिए। (t=-4) पर दोनों शर्तें पूरी होती हैं। / For degree (2), the \(x^3\) term must vanish and the \(x^2\) term must remain. At (t=-4), both conditions hold.
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