Level 30 • 50/50 questions • 35 seconds per question.
Login to save your score, XP, coins and progress.
What is the degree of the polynomial \(5x^6-3x^4+2x-9\)?
C. (6)
सबसे बड़ी घात (6) है। डिग्री हमेशा सबसे बड़ी अशून्य घात से तय करें। / The highest power is (6). Always decide the degree from the highest non-zero power.
Login to save your score, XP, coins and progress.
What is the degree of \(0x^8+7x^5-4x^2+1\)?
C. (5)
\(0x^8\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (5) है। / \(0x^8\) is a zero term, so it is not counted. The highest non-zero power is (5).
Login to save your score, XP, coins and progress.
After simplifying \(6x^4-6x^4+3x^3-2\), what will be the degree?
B. (3)
\(6x^4-6x^4=0\) होने से \(3x^3-2\) बचता है। इसकी डिग्री (3) है। / Since \(6x^4-6x^4=0\), \(3x^3-2\) remains. Its degree is (3).
Login to save your score, XP, coins and progress.
If (p(x)=(a+2)x-7+4x-3-5) and (a=-2), what is the degree of (p(x))?
C. (3)
(a=-2) रखने पर \(x^7\) का गुणांक (0) हो जाता है। बची हुई सबसे बड़ी घात (3) है। / Putting (a=-2) makes the coefficient of \(x^7\) equal to (0). The remaining highest power is (3).
Login to save your score, XP, coins and progress.
For which value will the degree of ((m-6)x-5+2x-2+7) be (2)?
A. (m=6)
डिग्री (2) के लिए \(x^5\) का गुणांक (0) होना चाहिए। (m-6=0) से (m=6) मिलता है। / For degree (2), the coefficient of \(x^5\) must be (0). From (m-6=0), we get (m=6).
Login to save your score, XP, coins and progress.
The degree of \(-9x^7+4x^5-x+8\) is decided by which term?
A. \(-9x^7\)
सबसे बड़ी घात (7) वाले पद से डिग्री तय होती है। ऋणात्मक गुणांक डिग्री को नहीं बदलता। / The degree is decided by the term with highest power (7). A negative coefficient does not change the degree.
Login to save your score, XP, coins and progress.
What is the degree of \(4x^2+x^{10}-6x^4+11\)?
D. (10)
पद घटते क्रम में नहीं हैं पर सबसे बड़ी घात (10) है। इसलिए डिग्री (10) है। / The terms are not in descending order, but the highest power is (10). Therefore the degree is (10).
Login to save your score, XP, coins and progress.
If (q(x)=0x-6+0x-4-13x+9), what is the degree of (q(x))?
C. (1)
शून्य गुणांक वाले पद हट जाते हैं। (-13x+9) की सबसे बड़ी घात (1) है। / Terms with zero coefficients disappear. The highest power of (-13x+9) is (1).
Login to save your score, XP, coins and progress.
What is the degree of \(2x^0+9x^5-4x^2\)?
C. (5)
\(x^0=1\) होता है और सबसे बड़ी घात (5) है। इसलिए डिग्री (5) है। / \(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Login to save your score, XP, coins and progress.
What is the degree of the polynomial (-24)?
C. (0)
(-24) अशून्य नियतांक बहुपद है। अशून्य नियतांक बहुपद की डिग्री (0) होती है। / (-24) is a non-zero constant polynomial. The degree of a non-zero constant polynomial is (0).
Login to save your score, XP, coins and progress.
What is considered the degree of the zero polynomial \(0x^5+0x^2+0\)?
D. परिभाषित नहींNot defined
यह शून्य बहुपद है और इसकी डिग्री परिभाषित नहीं होती। परीक्षा में इसे नियतांक (0) से अलग पहचानें। / This is the zero polynomial and its degree is not defined. In exams, identify it separately from non-zero constants.
Login to save your score, XP, coins and progress.
Which polynomial has degree (4)?
B. \(5x^4-2x+6\)
\(5x^4-2x+6\) में सबसे बड़ी घात (4) है। इसलिए इसकी डिग्री (4) है। / In \(5x^4-2x+6\), the highest power is (4). Therefore its degree is (4).
Login to save your score, XP, coins and progress.
After simplifying \(8x^6-3x^6+2x^3-7\), what is the degree?
C. (6)
सरल रूप \(5x^6+2x^3-7\) है। इसमें सबसे बड़ी घात (6) है। / The simplified form is \(5x^6+2x^3-7\). Its highest power is (6).
Login to save your score, XP, coins and progress.
If \(r\neq0\), what will be the degree of \(rx^8-5x^3+2\)?
C. (8)
\(r\neq0\) होने से \(x^8\) पद मौजूद रहेगा। इसलिए सबसे बड़ी घात (8) है। / Since \(r\neq0\), the \(x^8\) term remains present. Therefore the highest power is (8).
Login to save your score, XP, coins and progress.
If (r=0), what will be the degree of \(rx^8-5x^3+2\)?
C. (3)
(r=0) होने पर \(x^8\) पद हट जाता है। बची हुई सबसे बड़ी घात (3) है। / When (r=0), the \(x^8\) term disappears. The remaining highest power is (3).
Login to save your score, XP, coins and progress.
What is the degree of the polynomial \(6y^4-7y^2+12\)?
B. (4)
चर (y) की सबसे बड़ी घात (4) है। इसलिए बहुपद की डिग्री (4) है। / The highest power of the variable (y) is (4). Therefore the degree of the polynomial is (4).
Login to save your score, XP, coins and progress.
With respect to (x), what is the degree of \(7y^3-2y+5\)?
C. (0)
(x) के संदर्भ में इसमें (x) नहीं है इसलिए यह अशून्य नियतांक जैसा है। इसकी डिग्री (0) है। / With respect to (x), it has no (x), so it behaves like a non-zero constant. Its degree is (0).
Login to save your score, XP, coins and progress.
If the degree of (p(x)=\(m^2-9\)x-6+5x-4-1) is (4), which can be a possible value of (m)?
C. (m=3)
डिग्री (4) के लिए \(x^6\) का गुणांक (0) होना चाहिए। \(m^2-9=0\) से \(m=\pm3\) मिलता है। / For degree (4), the coefficient of \(x^6\) must be (0). From \(m^2-9=0\), \(m=\pm3\).
Login to save your score, XP, coins and progress.
What will be the degree after expanding (3x-3\(2x^2-5\))?
C. (5)
फैलाने पर \(6x^5-15x^3\) मिलता है। सबसे बड़ी घात (5) है। / On expanding, we get \(6x^5-15x^3\). The highest power is (5).
Login to save your score, XP, coins and progress.
After simplifying (x-3\(x^2+2\)-x-5+7x-2), what is the degree?
B. (3)
(x-3\(x^2+2\)=x-5+2x-3) और \(x^5\) कट जाता है। बचा \(2x^3+7x^2\) है जिसकी डिग्री (3) है। / (x-3\(x^2+2\)=x-5+2x-3), and \(x^5\) cancels. The remaining \(2x^3+7x^2\) has degree (3).
Login to save your score, XP, coins and progress.
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).
Login to save your score, XP, coins and progress.
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).
Login to save your score, XP, coins and progress.
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.
Login to save your score, XP, coins and progress.
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).
Login to save your score, XP, coins and progress.
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.
Login to save your score, XP, coins and progress.
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).
Login to save your score, XP, coins and progress.
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).
Login to save your score, XP, coins and progress.
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).
Login to save your score, XP, coins and progress.
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).
Login to save your score, XP, coins and progress.
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.
Login to save your score, XP, coins and progress.
If (u=2), what is the degree of ((u-2)x-6+\(u^2+1\)x-4+x)?
B. (4)
(u=2) पर \(x^6\) का गुणांक (0) और \(x^4\) का गुणांक (5) होता है। इसलिए डिग्री (4) है। / At (u=2), the coefficient of \(x^6\) is (0) and the coefficient of \(x^4\) is (5). Therefore the degree is (4).
Login to save your score, XP, coins and progress.
What is the degree of the polynomial (\(3x^2+1\)\(x^3-2\))?
C. (5)
सबसे बड़ी घात \(3x^2\cdot x^3=3x^5\) से आती है। इसलिए डिग्री (5) है। / The highest power comes from \(3x^2\cdot x^3=3x^5\). Therefore the degree is (5).
Login to save your score, XP, coins and progress.
What is the degree of the polynomial (x(x+4)(x-5))?
C. (3)
तीन रेखीय गुणनखंडों का गुणन उच्चतम घात \(x^3\) देता है। इसलिए डिग्री (3) है। / The product of three linear factors gives highest power \(x^3\). Therefore the degree is (3).
Login to save your score, XP, coins and progress.
If (g(x)=5x-7-5x-7+x-5-x-2), what is the degree of (g(x))?
B. (5)
\(5x^7-5x^7=0\) हो जाता है। बची हुई सबसे बड़ी घात (5) है। / \(5x^7-5x^7=0\). The remaining highest power is (5).
Login to save your score, XP, coins and progress.
What is the degree of \(x^3+x^5+x^7+x^9\)?
D. (9)
सबसे बड़ी घात (9) है। इसलिए बहुपद की डिग्री (9) है। / The highest power is (9). Therefore the degree of the polynomial is (9).
Login to save your score, XP, coins and progress.
If (h(x)=\(x^3-2\)2), what is the degree of (h(x))?
C. (6)
वर्ग करने पर उच्चतम पद \(x^6\) बनेगा। इसलिए डिग्री (6) है। / On squaring, the highest term becomes \(x^6\). Therefore the degree is (6).
Login to save your score, XP, coins and progress.
What is the degree of \(4x^{11}-3x^8+2x^4-1\)?
B. (11)
सबसे बड़ी घात (11) है। गुणांक (4) डिग्री नहीं होता। / The highest power is (11). The coefficient (4) is not the degree.
Login to save your score, XP, coins and progress.
If the degree of \(3x^n+2x^4-7\) is (9) and (n>4), what is (n)?
C. (9)
डिग्री सबसे बड़ी घात होती है। (n>4) और डिग्री (9) होने से (n=9) होगा। / The degree is the highest power. Since (n>4) and the degree is (9), (n=9).
Login to save your score, XP, coins and progress.
If the degree of \(x^5+ax^3+4\) is (5), what is the correct statement about (a)?
A. (a) कोई भी वास्तविक संख्या हो सकता है(a) can be any real number
\(x^5\) का गुणांक (1) है जो शून्य नहीं है। इसलिए (a) का मान डिग्री (5) को नहीं बदलता। / The coefficient of \(x^5\) is (1), which is non-zero. So the value of (a) does not change degree (5).
Login to save your score, XP, coins and progress.
What is the degree of \(0x^{10}+0x^6+0x+19\)?
D. (0)
शून्य गुणांक वाले पद हट जाते हैं और (19) बचता है। यह डिग्री (0) का अशून्य नियतांक बहुपद है। / Terms with zero coefficients disappear and (19) remains. It is a non-zero constant polynomial of degree (0).
Login to save your score, XP, coins and progress.
Which option has a polynomial of degree (3) but coefficient of \(x^2\) is (0)?
A. \(4x^3-8x+1\)
\(4x^3-8x+1\) की डिग्री (3) है और \(x^2\) पद अनुपस्थित है। इसलिए \(x^2\) का गुणांक (0) है। / \(4x^3-8x+1\) has degree (3), and the \(x^2\) term is absent. So the coefficient of \(x^2\) is (0).
Login to save your score, XP, coins and progress.
What is the degree of (x-4\(3x^2-2\)+5x-3)?
C. (6)
फैलाने पर \(3x^6-2x^4+5x^3\) मिलता है। सबसे बड़ी घात (6) है। / On expanding, we get \(3x^6-2x^4+5x^3\). The highest power is (6).
Login to save your score, XP, coins and progress.
If (s=-1), what will be the degree of ((s+1)x-5+(s+4)x-2+8)?
C. (2)
(s=-1) पर \(x^5\) का गुणांक (0) और \(x^2\) का गुणांक (3) है। इसलिए डिग्री (2) है। / At (s=-1), the coefficient of \(x^5\) is (0) and the coefficient of \(x^2\) is (3). Therefore the degree is (2).
Login to save your score, XP, coins and progress.
What is the total degree of \(4x^3y+2xy^5+6\)?
C. (6)
\(2xy^5\) की कुल घात (1+5=6) है। यह सबसे बड़ी कुल घात है। / The total power of \(2xy^5\) is (1+5=6). This is the highest total power.
Login to save your score, XP, coins and progress.
Which option does not have degree (6)?
C. \(6x^5+7\)
\(6x^5+7\) की सबसे बड़ी घात (5) है। इसलिए इसकी डिग्री (6) नहीं है। / The highest power of \(6x^5+7\) is (5). Therefore its degree is not (6).
Login to save your score, XP, coins and progress.
If \(v\neq-3\), what is the degree of ((v+3)x-7+x-3+1)?
C. (7)
\(v\neq-3\) होने पर \(x^7\) का गुणांक शून्य नहीं है। इसलिए सबसे बड़ी घात (7) रहेगी। / When \(v\neq-3\), the coefficient of \(x^7\) is not zero. Therefore the highest power remains (7).
Login to save your score, XP, coins and progress.
What is the degree of (\(x^4+3\)\(x^2-x+2\))?
C. (6)
उच्चतम पद \(x^4\cdot x^2=x^6\) है। इसलिए गुणनफल की डिग्री (6) होगी। / The highest term is \(x^4\cdot x^2=x^6\). Therefore the product has degree (6).
Login to save your score, XP, coins and progress.
If (z=4), what will be the degree of ((z-4)x-9+(z-1)x-6+3x-2-5)?
B. (6)
(z=4) रखने पर \(x^9\) का गुणांक (0) और \(x^6\) का गुणांक (3) होता है। इसलिए सबसे बड़ी घात (6) है। / Putting (z=4) makes the coefficient of \(x^9\) equal to (0) and the coefficient of \(x^6\) equal to (3). So the highest power is (6).
Login to save your score, XP, coins and progress.
What is the degree of the polynomial (\(2x^3-1\)\(x^3+4\))?
C. (6)
उच्चतम पद \(2x^3\cdot x^3=2x^6\) से मिलेगा। इसलिए गुणनफल की डिग्री (6) है। / The highest term comes from \(2x^3\cdot x^3=2x^6\). Therefore the product has degree (6).
Login to save your score, XP, coins and progress.
If the degree of \(4x^n+3x^5-2\) is (5) and (n<5), which value of (n) is possible?
D. (n=3)
\(x^5\) पद पहले से मौजूद है और (n<5) है। इसलिए (n=3) पर भी सबसे बड़ी घात (5) रहेगी। / The \(x^5\) term is already present and (n<5). So even when (n=3), the highest power remains (5).
Login to save your score, XP, coins and progress.
This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.
Yes, the timer uses 35 seconds per question for Medium difficulty and shows the total remaining time on the page.
Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.
Use Google login or mobile OTP. Admin can block users and control login providers.