Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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If (p(x)=x+5), what type of polynomial is (p(x)2)?
B. द्विघात बहुपदQuadratic polynomial
(p(x)2=(x+5)2) की डिग्री (2) होती है। इसलिए यह द्विघात बहुपद है। / (p(x)2=(x+5)2) has degree (2). Therefore it is a quadratic polynomial.
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If (p(x)=4x+b), what will be the value of (p(5)-p(2))?
D. (12)
(p(5)-p(2)=(20+b)-(8+b)=12) है। नियतांक पद अंतर में कट जाता है। / (p(5)-p(2)=(20+b)-(8+b)=12). The constant term cancels in the difference.
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If (p(x)=6x-5), what is the value of (p(4)-p(1))?
B. (18)
(p(4)=19) और (p(1)=1) हैं। इसलिए अंतर (18) है। / (p(4)=19) and (p(1)=1). Therefore the difference is (18).
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For which value will ((3r-12)x+5) not remain a linear polynomial?
C. (r=4)
रेखीय न रहने के लिए (x) का गुणांक (0) होना चाहिए। (3r-12=0) से (r=4) मिलता है। / For it not to be linear, the coefficient of (x) must be (0). From (3r-12=0), (r=4).
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If the zero of (p(x)=9x+b) is (-1), what is the value of (b)?
A. (9)
शून्यक (-1) होने से (9(-1)+b=0) होगा। इसलिए (b=9) है। / Since the zero is (-1), (9(-1)+b=0). Therefore (b=9).
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If (p(x)=3x-2) and (q(x)=5x+4), what is (2q(x)-p(x))?
A. (7x+10)
(2q(x)-p(x)=2(5x+4)-(3x-2)=7x+10) है। कोष्ठक खोलकर समान पद मिलाएं। / (2q(x)-p(x)=2(5x+4)-(3x-2)=7x+10). Open brackets and combine like terms.
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Which option has zero \(-\frac{2}{5}\) for a linear polynomial?
C. (5x+2)
(5x+2=0) से \(x=-\frac{2}{5}\) मिलता है। भिन्न शून्यक में चिन्ह और हर ध्यान रखें। / From (5x+2=0), we get \(x=-\frac{2}{5}\). In fractional zeros, note the sign and denominator.
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If (p(x)=7-2x), what is the value of (p(-3))?
C. (13)
(p(-3)=7-2(-3)=13) है। ऋणात्मक मान रखते समय चिन्ह सावधानी से लगाएं। / (p(-3)=7-2(-3)=13). Handle signs carefully when substituting a negative value.
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In which option is the difference of two linear polynomials the zero polynomial?
A. (2x+3) और (2x+3)(2x+3) and (2x+3)
समान बहुपदों का अंतर (0) होता है। शून्य बहुपद की डिग्री परिभाषित नहीं होती। / The difference of identical polynomials is (0). The degree of the zero polynomial is not defined.
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If (p(x)=\frac{4}{5}x-8), what is (p(10))?
A. (0)
(p(10)=\frac{4}{5}\cdot10-8=0) है। इसलिए (10) इस बहुपद का शून्यक है। / (p(10)=\frac{4}{5}\cdot10-8=0). Therefore (10) is a zero of this polynomial.
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