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 product of (p(2)) and (p(-2)) for (p(x)=x-3-3x-2-4x+12)?
B. (0)
(p(2)=8-12-8+12=0), इसलिए गुणनफल (0) होगा। एक मान (0) हो तो पूरा गुणनफल (0) होता है। / (p(2)=8-12-8+12=0), so the product is (0). If one value is (0), the whole product is (0).
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For (p(x)=x-3-x-2-4x+4), what is (p(2)-p(-2))?
C. (16)
(p(2)=0) और (p(-2)=-16), इसलिए (p(2)-p(-2)=16)। घटाते समय दूसरे मान का संकेत बदलता है। / (p(2)=0) and (p(-2)=-16), so (p(2)-p(-2)=16). While subtracting, the sign of the second value changes.
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If (p(x)=x-2+px+q), (p(0)=12), and (p(3)=0), what is the value of (p)?
A. (-7)
(p(0)=q=12) और (p(3)=9+3p+12=0), इसलिए (3p=-21) और (p=-7)। पहले अचर पद निकालें। / (p(0)=q=12) and (p(3)=9+3p+12=0), so (3p=-21) and (p=-7). Find the constant term first.
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If (p(x)=x-5+ax-3+b) has (p(0)=0), which conclusion is certain?
A. (b=0)
(p(0)=b) होता है, इसलिए (p(0)=0) से (b=0) निश्चित है। बाकी निष्कर्ष जरूरी नहीं हैं। / (p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.
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Which polynomial makes (x=0) a zero but is not the zero polynomial?
B. \(4x^3-7x\)
\(4x^3-7x\) में (x=0) रखने पर (0) मिलता है और यह शून्य बहुपद नहीं है। (x=0) के लिए अचर पद (0) होना चाहिए। / Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).
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If (p(x)=x-2-2x+4), what is (p(x+3))?
A. \(x^2+4x+7\)
(p(x+3)=(x+3)2-2(x+3)+4=x-2+4x+7)। (x) की जगह पूरा (x+3) रखें। / (p(x+3)=(x+3)2-2(x+3)+4=x-2+4x+7). Substitute the whole (x+3) in place of (x).
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If (p(x)=4x-2-3x+2), what is (p(3x))?
A. \(36x^2-9x+2\)
(p(3x)=4(3x)2-3(3x)+2=36x-2-9x+2)। पूरे (3x) का वर्ग करें। / (p(3x)=4(3x)2-3(3x)+2=36x-2-9x+2). Square the whole (3x).
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If (p(x)=x-2-8x+15), what is (p(x)-p(3))?
A. \(x^2-8x+15\)
(p(3)=9-24+15=0), इसलिए (p(x)-p(3)=x-2-8x+15)। पहले (p(3)) निकालें। / (p(3)=9-24+15=0), so (p(x)-p(3)=x-2-8x+15). Find (p(3)) first.
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If (p(x)=x-3+ax-2+bx+20), (p(1)=0), and (p(-4)=0), what is the value of (a-b)?
C. (17)
शर्तों से (a+b=-21) और (4a-b=11) मिलते हैं, इसलिए (a=-2), (b=-19) और (a-b=17)। दो शून्य दिए हों तो दो समीकरण बनाएं। / The conditions give (a+b=-21) and (4a-b=11), so (a=-2), (b=-19), and (a-b=17). When two zeros are given, form two equations.
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If (p(x)=2x-2-7x+3), what will (p(x+1)-p(x-1)) be?
A. (8x-14)
(p(x+1)=2x-2-3x-2) और (p(x-1)=2x-2-11x+12), इसलिए अंतर (8x-14) है। पूरे व्यंजक को (x) की जगह रखें। / (p(x+1)=2x-2-3x-2) and (p(x-1)=2x-2-11x+12), so the difference is (8x-14). Substitute the whole expression in place of (x).
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