This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Rewrite $\frac{x^3 + 2x^2-x + 4}{x^2 + 1}$ $q(x) + \frac{r(x)}{x^2 + 1}$ A) $x + 2 + \frac{-x + 2}{x^2 + 1}$. B) $x + 2 + \frac{x + 2}{x^2 + 1}$. C) $x + 1 + \frac{-x + 4}{x^2 + 1}$. D) $x + 1 + \frac{x + 4}{x^2 + 1}$. Show Answer Correct Answer: A) $x + 2 + \frac{-x + 2}{x^2 + 1}$. 2. Expand completely. A.APR.5(3x-2y)$^{3}$ A) 108x$^{3}$-108x$^{2}$y + 48xy$^{2}$-8y$^{3}$. B) 27x$^{3}$-54x$^{2}$y + 36xy$^{2}$-8y$^{3}$. C) 27x$^{3}$-18x$^{2}$y + 12xy$^{2}$-8y$^{3}$. D) 27x$^{3}$ + 36x$^{2}$y + 36xy$^{2}$-8y$^{3}$. Show Answer Correct Answer: B) 27x$^{3}$-54x$^{2}$y + 36xy$^{2}$-8y$^{3}$. 3. What factoring technique must be used to factor? $27a^3-729$ A) Factoring using the GCF. B) Difference of 2 squares. C) Difference of 2 cubes. D) FOIL. Show Answer Correct Answer: C) Difference of 2 cubes. 4. Using the Binomial Theorem expand:$\left(x^2+4y\right)^3$ A) $x^6+12x^4y+48x^2y^2+64y^3$. B) X6+12x4y+48x2y2+64y3 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x^6+12x^4y+48x^2y^2+64y^3$. 5. (-2x-y )$^{3}$ A) 8x$^{3}$-12x$^{2}$y + 6xy$^{2}$-y$^{3}$. B) 8x$^{3}$ + 12x$^{2}$y + 6xy$^{2}$ + y$^{3}$. C) -8x$^{3}$-12x$^{2}$y-6xy$^{2}$-y$^{3}$. D) -8x$^{3}$ + 12x$^{2}$y-6xy$^{2}$ + y$^{3}$. Show Answer Correct Answer: C) -8x$^{3}$-12x$^{2}$y-6xy$^{2}$-y$^{3}$. 6. Multiply the binomial:(x-2)$^{4}$ A) X$^{4}$ +-8x$^{3}$ + 24x$^{2}$ + 32x + 16. B) -x$^{5}$ + 8x$^{4}$-24x$^{3}$ + 32x$^{2}$-32. C) X$^{5}$ + 8x$^{4}$ + 24x$^{3}$ + 32x$^{2}$ + 32. D) X$^{5}$-4x$^{4}$ + 6x$^{3}$-4x$^{2}$ + 1. Show Answer Correct Answer: A) X$^{4}$ +-8x$^{3}$ + 24x$^{2}$ + 32x + 16. 7. Find the constant term in the expansion $\left(2w^3-\frac{5}{w^2}\right)^5$ A) 32. B) -400. C) 2000. D) -5000. Show Answer Correct Answer: D) -5000. 8. Find the common ratio (multiplier):a$_{1}$ = 4 and a$_{4}$ = 256 A) 84. B) 64. C) 4. D) 8. Show Answer Correct Answer: C) 4. 9. Expand (x + 5)$^{2 }$ A) X$^{2}$ + 25. B) X$^{2}$ + 10x + 25. C) X$^{2}$ + 10 x + 10. D) X$^{2}$ + 10. Show Answer Correct Answer: B) X$^{2}$ + 10x + 25. 10. Using $\left(2y-5x\right)^6$ A) $6000x^4y^2$. B) $6000x^3y^5$. C) $6000x^2y^4$. D) $6001x^2y^4$. Show Answer Correct Answer: C) $6000x^2y^4$. 11. What row of Pascal's Triangle would you use for (x-2)$^{7}$? A) 1, 5, 10, 5, 1. B) 1, 5, 10, 10, 5, 1. C) 1, 7, 21, 35, 35, 21, 7, 1. D) 1, 7, 21, 35, 21, 7, 1. Show Answer Correct Answer: C) 1, 7, 21, 35, 35, 21, 7, 1. 12. What is the middle term in the expansion of (2y-3x)$^{4}$ A) -6x$^{2}$y$^{2}$. B) 216x$^{2}$y$^{2}$. C) -36x$^{2}$y$^{2}$. D) 144x$^{2}$y$^{2}$. Show Answer Correct Answer: B) 216x$^{2}$y$^{2}$. 13. The binomial coefficients from the beginning and end are ..... A) Greater than the other. B) Equal. C) 0. D) None. Show Answer Correct Answer: B) Equal. 14. A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 7.5 in by 2.75 in by 2.5 in. If the bricks weight 0.04 ounces per cubic inch and cost cost $ 0.09 per ounce, find the cost of 950 bricks. Round your answer to the nearest cent. A) $ 0.19. B) $ 176.34. C) $ 110.21. D) $ 18.05. Show Answer Correct Answer: B) $ 176.34. 15. In the expansion of $(x-2y)^5$ $x^3y^2$ A) -40. B) 40. C) -80. D) 80. Show Answer Correct Answer: A) -40. 16. Rewrite the rational expression $\frac{x^2 + 3x + 2}{x + 1}$ $q(x) + \frac{r(x)}{x + 1}$ $q(x)$ $r(x)$ $r(x)$ $x + 1$ A) $x + 2 + \frac{0}{x + 1}$. B) $x + 2 + \frac{1}{x + 1}$. C) $x + 1 + \frac{1}{x + 1}$. D) $x + 1 + \frac{2}{x + 1}$. Show Answer Correct Answer: A) $x + 2 + \frac{0}{x + 1}$. 17. How many terms are the in the expansion of (a+b)$^{7}$ A) 7. B) 8. C) 9. D) 14. Show Answer Correct Answer: B) 8. 18. You want to save $ 5, 000 for future family vacation. If the bank pays 4.3% compounded monthly for 3 years, then how much will you need to invest to reach your vacation goal? A) $ 307, 042, 791. B) $ 5, 000. C) $ 3, 250. D) $ 4, 395.89. Show Answer Correct Answer: D) $ 4, 395.89. 19. How many 7 card hands are possible if all the jacks must be in the hand? A) 17, 296. B) 17, 297. C) 17, 298. D) 17, 299. Show Answer Correct Answer: A) 17, 296. 20. Using the Binomial Theorem expand:$\left(x+2\right)^4$ A) $x^4+8x^3+24x^2+32x+16$. B) X4+8x3+24x2+32x+16 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x^4+8x^3+24x^2+32x+16$. 21. $Evaluate:\\sum_{k=-3}^3\left(k^2-k\right)$ A) 16. B) 20. C) 28. D) None of the above. Show Answer Correct Answer: C) 28. 22. What is the constant term in the expansion of $(x + \frac{1}{x})^6$ A) 10. B) 15. C) 20. D) 30TagsCCSS.HSA.APR.C.5. Show Answer Correct Answer: C) 20. 23. What is the constant term in the expansion of (x + 4)$^{5}$? A) 640. B) 160. C) 1024. D) 64. Show Answer Correct Answer: C) 1024. 24. Multiply (x + y)$^{5}$ A) X$^{5}$ + x$^{4}$y + x$^{3}$y$^{2}$ + x$^{2}$y$^{3}$ + xy$^{4}$ + y$^{5}$. B) X$^{5}$ + 5x$^{4}$y + 10x$^{3}$y$^{2}$ + 10x$^{2}$y$^{3}$ + 5xy$^{4}$ + y$^{5}$. C) X$^{5 }$+ 5x$^{4}$ + 10x$^{3}$ + 10x$^{2}$ + 5x + 1. D) None of the above. Show Answer Correct Answer: B) X$^{5}$ + 5x$^{4}$y + 10x$^{3}$y$^{2}$ + 10x$^{2}$y$^{3}$ + 5xy$^{4}$ + y$^{5}$. 25. Express $\frac{1}{\left(1-i\sqrt[]{3}\right)^3}$ $\frac{a}{b}$ $a, \b\\in Z$ A) $\frac{1}{8}$. B) $\frac{1}{6}$. C) $-\frac{1}{8}$. D) $-\frac{1}{6}$. Show Answer Correct Answer: C) $-\frac{1}{8}$. 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