Bihar Polytechnic Math ( बहुपद एवं गुणनखंड ) Objective Question 2023। Polytechnic Entrance Exam 2023

दोस्तों अगर आप इस बार बिहार पॉलिटेक्निक प्रवेश परीक्षा 2023 की तैयारी कर रहे हैं अच्छे कॉलेजों में नामांकन लेना चाहते हैं तो आज के इस पोस्ट में आपके लिए ( Polytechnic Entrance Exam 2023)  से संबंधित बिहार पॉलिटेक्निक गणित ( बहुपद एवं गुणनखंड ) का ऑब्जेक्टिव नीचे दिया हुआ है जिसको पढ़ कर अपनी तैयारी को बेहतर कर सकते हैं

( बहुपद एवं गुणनखंड ) Objective Question

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Bihar Polytechnic Math ( बहुपद एवं गुणनखंड ) Objective Question 2023

Q1. (x³ + x – 3x² – 3) का गुणन होगा

(a) (x – 3)(x² + 1)
(b) (x + 3)(x² + 1)
(c) (x + 3)(x² – 1)
(d) (x – 3)(x² – 1)

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[accordion title=”Show Answer” load=”hide”](a) (x – 3)(x² + 1)
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Q2.   को हल करने पर x का एक मान होगा

(a) 1/13
(b) 2/13
(c) 3/13
(d) 4/13

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[accordion title=”Show Answer” load=”hide”](d) 4/13
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Q3. (x – y)³ + (y – z)³ + (z – x)³ का मान होगा

(a) 0
(b) 3 (x – y) (y – z) (z – x)
(c) xyz (xy + yz + zx)
(d) 3xyz

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[accordion title=”Show Answer” load=”hide”](b) 3 (x – y) (y – z) (z – x)
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Q4. x⁴ + xy³ + xz³ + x³y + y⁴ + yz³ के गुणनखण्ड होंगे

(a) (x + y + z) (x² + y² + z²) (x – y)
(b) (x² + y²) (x – y + z) (x – y – z)
(c) (x + y) (x³ + y³ + z³)
(d) (x – y) (x³ – y³ + z³)

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[accordion title=”Show Answer” load=”hide”](C)
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Q5. यदि x⁴ – px² + Q का गुणनखण्ड x² – 3x + 2 हो, तो p तथा Q के मान होंगे

(a) p = 1, Q = 2
(b) p = 3, Q = 4
(c) p = 5, Q = 4
(d) p = 5, Q = 1

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[accordion title=”Show Answer” load=”hide”](C)
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Q6. यदि 2x² + 5xy + 3y² + x + ky – 10 = (2x + 3y + m) (x + y – 2), तो k तथा m के मान होंगे

(a) 1 तथा –5
(b) –1 तथा –5
(c) –1 तथा 5
(d) 2 तथा –2

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[accordion title=”Show Answer” load=”hide”](c) –1 तथा 5
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Q7. व्यंजक 3y³ + y² – 19y + 6 को y – 3 से विभाजित करने पर शेषफल है

(a) 39
(b) –39
(c) 72
(d) –72

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[accordion title=”Show Answer” load=”hide”](a) 39
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Q8. p के किस मान के लिए (a – 2) व्यंजक a² – 5a + p का गुणनखण्ड है

(a) 2
(b) 5
(c) 3
(d) 6

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[accordion title=”Show Answer” load=”hide”](d) 6
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Q9. (a² – b²) (x² + y²) + 2 (a + b²) xy के गुणनखण्ड होंगे

(a) (a + b) (a – b) (x + y)²
(b) [a (x + y) – b (x – y)] × [a (x + y) + b(x – y)]
(c) [a (x – y) – b (x + y)] × [a (x – y) + b(x + y)]
(d) [b (x + y) – a (x – y)] × [b (x + y) + a(x – y)]

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[accordion title=”Show Answer” load=”hide”](B)
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Q10. 4a² + 12ab + 9b² – 8a – 12b के गुणनखण्ड हैं

(a) (2a – 3b)(2a – 3b – 4)
(b) (2a – 3b) (2a – 3b + 4)
(c) (2a + 3b) (2a – 3b + 4)
(d) (2a + 3b) (2a + 3b – 4)

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[accordion title=”Show Answer” load=”hide”](d) (2a + 3b) (2a + 3b – 4)
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bihar polytechnic maths objective of polynomial and factor 2023

Q11. x² – y² – z² + 2yz + x + y – 2 के गुणनखण्ड है

(a) (x + y + z) (x – y – z – 1)
(b) (x + y – z)(x – y + z + 1)
(c) (x – y + z)(x + y – z + 1)
(d) (x + y – z)(x – y + z – 1)

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[accordion title=”Show Answer” load=”hide”](b) (x + y – z)(x – y + z + 1)
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Q12. (2x² – 3x – 2) (2x² – 3x)–63 के गुणनखण्ड हैं

(a) (x – 3) 2x + 3) (x – 1) (x – 7)
(b) (x + 3)(2x – 3)(x – 1)(x – 7)
(c) (x – 3) (2x + 3) (x² – 8x + 7)
(d) (x – 3) (2x + 3) (2x² – 3x + 7)

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[accordion title=”Show Answer” load=”hide”](d) (x – 3) (2x + 3) (2x² – 3x + 7)
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Q13. x (y² – z²) + y (z² – x²)+ z (x² – y²) के गुणनखण्ड हैं

(a) (x + y) (y + z) (z + x)
(b) (x – y) (x – z) (z – Y)
(c) (x + y) (z – Y) (x – z)
(d) (y – x) (z – Y) (x – z)

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[accordion title=”Show Answer” load=”hide”](d) (y – x) (z – Y) (x – z)
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Q14. 4x⁸ + 16x⁴y⁴ + 25y⁸ के गुणनखण्ड हैं

(a) (2x⁴ + 5y⁴ + 2x²y²)(2x⁴ + 5y⁴ – 2x²y²)
(b) (2x⁴ – 5y⁴ + 2x²y²)(2x⁴ + 5y⁴ – 2x²y²)
(c) (2x⁴ + 5y⁴ + 2x²y²)(2x⁴ – 16y⁴ –20xy)
(d) (2x⁴ + 5y⁴ + 2x²y²)(2x⁴ + 16y⁴ – 20xy)

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[accordion title=”Show Answer” load=”hide”](A)
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Q15. x⁴ – 3x² + 1 के गुणनखण्ड हैं

(a) (x² – x – 1) (x² – x + 1)
(b) (x² – x – 1) (x² + x + 1)
(c) (x² – x + 1) (x² + x + 1)
(d) (x² – x – 1) (x² + x – 1)

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[accordion title=”Show Answer” load=”hide”](D)
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Q16. 343x⁶ + 27y⁶ के गुणनखण्ड हैं

(a) (7x² + 3y²) (49x⁴ – 21x²y² + 9y⁴)
(b) (7x² – 3y²) (49x⁴ – 21x²y² + 9y⁴)
(c) (7x² + 3y²) (49x⁴ + 21x²y² + 9y⁴)
(d) (7x² – 3y²) (49x⁴ + 21x²y² + 9y⁴)

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[accordion title=”Show Answer” load=”hide”](A)
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Q17. यदि 2x³ + 4x² + 2ax + b पूरी तरह (x² – 1) से विभाजित हो जाए, तो a और b के मान क्रमशः होंगे

(a) 1, 3
(b) –1, –4
(c) –1, 4
(d) 1, –2

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[accordion title=”Show Answer” load=”hide”](b) –1, –4
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Q18. a² + 1/a² + 8(a + 1/a) + 14 के गुणनखण्ड हैं

(a) (a + 1/a + 2) (a + 1/a + 7)
(b) (a + 1/a + 1) (a + 1/a + 12)
(c) (a + 1/a + 2) (a + 1/a + 6)
(d) (a + 1/a + 4) (a + 1/a + 10)

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[accordion title=”Show Answer” load=”hide”](c) (a + 1/a + 2) (a + 1/a + 6)
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Q19. यदि 2a + xb + c, 9b² – c² – 2ac + 6ab का एक गुणनखण्ड हो, तो का मान होगा

(a) –1
(b) 1
(c) –3
(d) 3

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[accordion title=”Show Answer” load=”hide”](c) –3
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Q20. ‘n’ का वह मान जिस पर व्यंजक 9x⁴ – 12x³ + nx² – 8x + 4 सम्पूर्ण वर्ग हो जाए

(a) 16
(b) 18
(c) 24
(d) 12

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[accordion title=”Show Answer” load=”hide”](a) 16
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पॉलिटेक्निक गणित एवं गुणनखंड ऑब्जेक्टिव पीडीएफ डाउनलोड 2023

Q21. निम्नलिखित में कौन-सा पूर्ण वर्ग है ?

(a) (81 × 78 × 80 × 79 + 1)
(b) (279 × 278 × 181 × 280 + 1)
(c) (97 × 87 × 86 × 85 + 1)
(d) (165× 166× 164 × 168 + 1)

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[accordion title=”Show Answer” load=”hide”](a) (81 × 78 × 80 × 79 + 1)
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Q22. n का वह मान जिसके लिए व्यंजक 16x⁴ – 32x³ + nx² – 24x + 9 पूर्ण वर्ग बन जाता है, है

(a) 8
(b) 16
(c) 24
(d) 40

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[accordion title=”Show Answer” load=”hide”](d) 40
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Q23. क्या (x – 1) व्यंजक (x³ – 6x² + 11x – 6) को पूर्णत: विभाजित करता है ?

(a) हाँ
(b) नहीं
(c) कह नहीं सकते
(d) इनमें से कोई नहीं

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[accordion title=”Show Answer” load=”hide”](a) हाँ
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Q24. k का मान क्या है यदि x⁸ + kx³ – 2x+1 का एक गुणनखण्ड (x + 1) है ?

(a) 1
(b) 2
(c) 3
(d) 4

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[accordion title=”Show Answer” load=”hide”](d) 4
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polytechnic maths and factors objective pdf download 2023

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