This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Polynomials > Class 10 Maths Chapter 2 Polynomials – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 2 Polynomials Quiz 4 (47 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Lavanya throws a ball upwards, from a rooftop, which is 20 m above from ground. It will reach a maximum height and then fall back to the ground. The height of the ball from the ground at time t is h, which is given by h =-4t$^{2}$ +16t + 20, What are the two possible times to reach the ball at the same height of 32 m? A) 1 and 3 seconds. B) 1 and 4 seconds. C) 1 and 2 seconds. D) 1 and 5 seconds. Show Answer Correct Answer: A) 1 and 3 seconds. 2. Simplify the expression-6x-5(10x + 3) A) 44x+15. B) -44x-15. C) -56x+15. D) -56x-15. Show Answer Correct Answer: D) -56x-15. 3. If one of the zeros of the cubic polynomial $x^3+ax^2+bx+c$ $-1$ A) $b-a-1$. B) $1+a-b$. C) $1-a+b$. D) $a-b-1$. Show Answer Correct Answer: C) $1-a+b$. 4. Identify the degree of:2b$^{8}$c$^{2}$ A) 2. B) 10. C) 8. D) 16. Show Answer Correct Answer: B) 10. 5. Simplify:5(3x+2) A) ZKS-10. B) 15x+10. C) ZKS+10. D) 15x-10. Show Answer Correct Answer: B) 15x+10. 6. If p(x) = a x 2 + bx + c and a + c = b, then one of the zeroes is A) -1/2. B) -1. C) 1/2. D) 1. Show Answer Correct Answer: B) -1. 7. If the zeroes of the quadratic polynomial $x^2+\left(a+1\right)x+b$ A) A=3, b=-4. B) A=0, b=-3. C) A=2, b=-5. D) A=0, b=-6. Show Answer Correct Answer: D) A=0, b=-6. 8. Add the following polynomials:(5x + 2) + (4x + 5) A) Yah+will. B) -11. C) Yach. D) X+7. Show Answer Correct Answer: A) Yah+will. 9. If the polynomial x$^{4}$ + 2x$^{3}$ + 8x$^{2}$ +12x + 8 is divided by another polynomial x$^{2}$ + 5, the remainder comes out to be px + q. Find the values of p and q are A) 2 and 8. B) 2 and 12. C) 2 and 8. D) 2 and-7. Show Answer Correct Answer: D) 2 and-7. 10. If one of the zeros of quadratic polynomial (k-1)x$^{2}$+kx+1 is-3, then the value of k is A) 4/3. B) -2/3. C) -4/3. D) 2/3. Show Answer Correct Answer: A) 4/3. 11. Use the FOIL method to multiply:(x+10)(x-10) A) X$^{2}$-100. B) X$^{2}$ + 100. C) X$^{2}$-20x + 100. D) X$^{2}$ + 20x-100. Show Answer Correct Answer: A) X$^{2}$-100. 12. If $\alpha$ $\beta$ $x^2$ $\alpha\times\beta$ A) $\frac{-5}{2}$. B) $\frac{-9}{2}$. C) $\frac{9}{2}$. D) $\frac{5}{2}$. Show Answer Correct Answer: B) $\frac{-9}{2}$. 13. Use the FOIL method to multiply:(x-7)$^{2}$ A) X$^{2}$-14x+49. B) X$^{2}$-49. C) X$^{2}$-14x-49. D) X$^{2}$+49. Show Answer Correct Answer: A) X$^{2}$-14x+49. 14. Add the following polynomials:(6n$^{2 }$-7n$^{4}$+8) + (6 + 8n + 4n$^{4}$) A) -n$^{4}$ + 6n$^{2}$+8n+7. B) -3n $^{4} $+6N $^{2} $+8N+14. C) -n$^{4}$-2n$^{2}$+8n+7. D) $^{} $$ _ {} $-3N $^{4} $+6N $^{2} $+8N+7. Show Answer Correct Answer: B) -3n $^{4} $+6N $^{2} $+8N+14. 15. Find the difference(4n$^{4}$-8n + 4)-(8n$^{2}$ + 4n$^{4}$ + 1) A) -8n $^{2} $-8n + 3. B) -6n$^{2 }$-8n + 3. C) -7n $^{2} $-chN + 3. D) -7n $^{2} $-8n + 3. Show Answer Correct Answer: A) -8n $^{2} $-8n + 3. 16. In division algorithm when should one stop the division process? A) When the degree of the quotient is less than the degree of the divisor. B) When the degree of the remainder is less than the degree of the divisor. C) When the remainder is zero. D) When the degree of the divisor is less than the degree of the remainder. Show Answer Correct Answer: B) When the degree of the remainder is less than the degree of the divisor. 17. Which of these is the Rain Multiple? A) $x^5+6x+12$. B) $ hh+17 $. C) $x^3+9x^2+7x+12$. D) $x^2+6x+9$. Show Answer Correct Answer: B) $ hh+17 $. 18. (4a + 2)(6a$^{2}$-a + 2) A) 24a$^{3}$ + 8a$^{2}$ + 10a + 4. B) 24a$^{3}$-8a$^{2}$-6a + 4. C) 24a$^{3}$ + 16a$^{2}$ + 6a + 4. D) 24a$^{3}$ + 8a$^{2}$ + 6a + 4. Show Answer Correct Answer: D) 24a$^{3}$ + 8a$^{2}$ + 6a + 4. 19. Classify the polynomial and give the degree:5x$^{3}$y$^{2}$ A) Monomial, 3. B) Monomial, 5. C) Uninomial, 5. D) Uninomial, 3. Show Answer Correct Answer: B) Monomial, 5. 20. A (X + 1) + Dax-p A) 12x-1. B) 12x-5. C) 12x + 6. D) 12x + 1. Show Answer Correct Answer: A) 12x-1. 21. Simpliy:3x$^{2}$+5x$^{2}$ A) 8x. B) 8x $^{2} $. C) X. D) 2x $^{2} $. Show Answer Correct Answer: B) 8x $^{2} $. 22. THE LINEAR EQUATION IN A GRAPH IS A) Horizontal line. B) Vertical line. C) Straight line. D) Furniture. Show Answer Correct Answer: C) Straight line. 23. Lavanya throws a ball upwards, from a rooftop, which is 20 m above from ground. It will reach a maximum height and then fall back to the ground. The height of the ball from the ground at time t is h, which is given by h =-4t$^{2}$ +16t + 20. What is the height reached by the ball after 1 second? A) 32m. B) 20m. C) 64m. D) 128m. Show Answer Correct Answer: A) 32m. 24. The abscissa of a point lying on Y-axis is A) 0. B) X. C) Y. D) 1. Show Answer Correct Answer: A) 0. 25. The zeros of the quadratic polynomial x$^{2}$ + 88x + 125 are A) Both positive. B) Both negative. C) One positive and one negative. D) Both equal. Show Answer Correct Answer: B) Both negative. 26. 1 + 2x-4x $^{3} $ + 3X $^{2} $ A) 1. B) 2. C) 0. D) 3. Show Answer Correct Answer: D) 3. 27. A quadratic polynomial, the sum of whose zeroes is 0, one of its zero is 3, is A) X$^{2}$+3. B) X$^{2}$-9. C) X$^{2}$-3. D) X$^{2}$+9. Show Answer Correct Answer: B) X$^{2}$-9. 28. Simplify:2x (-2x-3) A) -hhh-h. B) X$^{2}$-3. C) -hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhht. D) -4x$^{2}$-6x. Show Answer Correct Answer: D) -4x$^{2}$-6x. 29. If-2 and 3 are the zeroes of the quadritic polynomial x$^{2}$ + (a+1)x+b then A) A=-2, b=-6. B) A=-2, b= 6. C) A=2, b=-6. D) A=2, b=-6. Show Answer Correct Answer: A) A=-2, b=-6. 30. Classify by number of terms:5x$^{2}$-6x + 3 A) Monomial. B) Binomial. C) Trinomial. D) None of the above. Show Answer Correct Answer: C) Trinomial. 31. (x-3)(x$^{2}$+2x+7) A) X$^{3}$-3x$^{2}$+7x-21. B) X$^{3}$+5x+13x-21. C) X$^{2}$+2x-3. D) X$^{3}$-x$^{2}$+x-21. Show Answer Correct Answer: D) X$^{3}$-x$^{2}$+x-21. 32. Identify the degree of the following monomial:$^{3}$ A) X. B) 0. C) 2. D) 1. Show Answer Correct Answer: B) 0. 33. If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as A) Value of p(x). B) Zero of p(x). C) Constant term of p(x). D) None of these. Show Answer Correct Answer: B) Zero of p(x). 34. The value of x, for which the polynomials x$^{2}$-1 and x$^{2}$-2x + 1 vanish simultaneously, is A) 2. B) 1. C) 4. D) 3. Show Answer Correct Answer: B) 1. 35. Can the maximum edge of two-lighted multilinguals? A) 1. B) 2. C) 0. D) 3. Show Answer Correct Answer: B) 2. 36. If p(x) = a x $^{2}$ + bx + c, then c/a is equal to A) 0. B) Product of zeroes. C) 1. D) Sum of zeroes. Show Answer Correct Answer: B) Product of zeroes. 37. A polynomial that has two terms is a: A) Polynomial. B) Monomial. C) Binomial. D) None of the above. Show Answer Correct Answer: C) Binomial. 38. Identify the degree of the monomial:8a$^{3}$ A) 3. B) 1. C) 8. D) 11. Show Answer Correct Answer: A) 3. 39. If $\alpha$ $\beta$ $x^2$ $\frac{1}{\alpha}$ $\frac{1}{\beta}$ A) 1. B) -1. C) 0. D) None of these. Show Answer Correct Answer: B) -1. 40. The ordinate of point (4, -4) is A) 4. B) 0. C) -4. D) None of these. Show Answer Correct Answer: C) -4. 41. The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is-2 is: A) X $^{2}$-3 x + 2. B) X $^{2}$-2 x + 3. C) X $^{2}$ + 3 x-2. D) X $^{2}$-3 x-2. Show Answer Correct Answer: D) X $^{2}$-3 x-2. 42. Say 'TRUE' or 'FALSE'A Polynomial of degree n $\geq$ 1 has at most n real zeroes. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 43. A polynomial of degree three is called A) Linear Polynomial. B) Quadratic Polynomial. C) Cubic Polynomial. D) None of these. Show Answer Correct Answer: C) Cubic Polynomial. 44. Multiplyx$^{2}$(2x+3) A) 2x$^{2}$+3x. B) X$^{2}$+2x+3. C) X+p. D) 2x$^{3}$+3x$^{2}$. Show Answer Correct Answer: D) 2x$^{3}$+3x$^{2}$. 45. If p(x)= 2x+1 then p(0)= A) 0. B) 2. C) 3. D) 1. Show Answer Correct Answer: D) 1. 46. A constant polynomial has degree A) 2. B) 0. C) 3. D) 1. Show Answer Correct Answer: B) 0. 47. (5x + 2) (x $ ^ {2} $-3x + 6) A) 5x$^{3}$-13x$^{2}$ + 24x +12. B) 5x$^{3 }$+ 17x$^{2}$-24x +12. C) 5x$^{3 }$-17x$^{2 }$+24x +12. D) 5x$^{3}$ +13x$^{2}$-24x-12. Show Answer Correct Answer: A) 5x$^{3}$-13x$^{2}$ + 24x +12. ← PreviousRelated QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 2 Polynomials Quiz 1Class 10 Maths Chapter 2 Polynomials Quiz 2Class 10 Maths Chapter 2 Polynomials Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books