This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Polynomials > Class 10 Maths Chapter 2 Polynomials – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 2 Polynomials Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The ideal form of linear multilayer A) Ax + b. B) A + b. C) Ax$^{2}$ +b. D) Ax$^{2}$ +bx + c. Show Answer Correct Answer: A) Ax + b. 2. If one zero of a quadratic polynomial kx$^{2}$ +3x + k is 2, find the value of k A) -6/5. B) -5/6. C) 5/6. D) 6/5. Show Answer Correct Answer: A) -6/5. 3. The zeros of the polynomial x$^{2}$ + 3x-10 are ..... A) -3, 2. B) 5, -2. C) -5, 2. D) 3, -2. Show Answer Correct Answer: C) -5, 2. 4. Which of these is the multitude? A) $ x^{-2}+7x+$ 5. B) $4$. C) $ SC+5 $. D) $ x^3+5x+6 $. Show Answer Correct Answer: A) $ x^{-2}+7x+$ 5. 5. Sum of the zeros of the polynomial x$^{2}$+7x+10 are A) 7. B) -10. C) 10. D) -7. Show Answer Correct Answer: D) -7. 6. Which of these polynomials whose zeroes are $\frac{1}{3}$ $\left(-\frac{3}{4}\right)$ A) $12x^2-5x-3$. B) $12x^2+13x+2$. C) $12x^2+13x-3$. D) $12x^2+5x-3$. Show Answer Correct Answer: D) $12x^2+5x-3$. 7. Classify by degree of polynomial:2x-9 A) Constant. B) Linear. C) Cubic. D) Quadratic. Show Answer Correct Answer: B) Linear. 8. The number of polynomials having zeroes at-3 and 4 A) 3. B) 2. C) More then 4. D) 4. Show Answer Correct Answer: C) More then 4. 9. Graph of a quadratic polynomial is a A) Circle. B) Parabola. C) Ellipse. D) Straight line. Show Answer Correct Answer: B) Parabola. 10. Is (x-2) a factor of f(x)= x$^{3}$-8x$^{2}$+14x-4? A) No, (x-2) is not a factor. The remainder is zero. B) Yes, (x-2) is a factor. The remainder is zero. C) Yes, (x-2) is a factor. There is a remainder. D) No, (x-2) is not a factor. There is a remainder. Show Answer Correct Answer: B) Yes, (x-2) is a factor. The remainder is zero. 11. If the zeroes of the quadratic polynomial x$^{2}$+ (a + 1) x + b are 2 and-3, then (a, b) is A) (-7, -1). B) (0, -6). C) (2, -6). D) (5, -1). Show Answer Correct Answer: B) (0, -6). 12. Simplify each expression.(6b$^{3}$ + 6-b$^{4}$)-(8b$^{3}$-6b$^{4}$ + 2) A) 5b$^{4}$-2b$^{3}$ + 7. B) 4b$^{4}$-2b$^{3}$ + 7. C) 5b$^{4}$-2b$^{3}$ + 4. D) B$^{4}$-2b$^{3}$ + 7. Show Answer Correct Answer: C) 5b$^{4}$-2b$^{3}$ + 4. 13. Given that two of the zeroes of the cubic polynomial $ax^3+bx^2+cx+d$ A) $\frac{-b}{a}$. B) $\frac{-d}{a}$. C) $\frac{c}{a}$. D) $\frac{b}{a}$. Show Answer Correct Answer: A) $\frac{-b}{a}$. 14. If $\alpha$ and $\beta$ are zeroes of the quadratic polynomial x$^{2}$-6x + a; find the value of 'a' if 3$\alpha$ + 2$\beta$ = 20. A) 8. B) -16. C) 16. D) -2. Show Answer Correct Answer: B) -16. 15. If one of the zeroes of a quadratic polynomial of the form x$^{2}$+ax + b is the negative of the other, then it A) Has no linear term and the constant term is negative. B) Has no linear term and the constant term is positive. C) Can have a linear term but the constant term is negative. D) Can have a linear term but the constant term is positive. Show Answer Correct Answer: A) Has no linear term and the constant term is negative. 16. P and q are the zeroes of the polynomial $4y^2-4y+1$ $\frac{1}{p}+\frac{1}{q}+pq$ A) 17/4. B) 3/4. C) 5/2. D) 13/4. Show Answer Correct Answer: A) 17/4. 17. Given that one of the zero of the quadratic polynomial $ax^2+bx+c=0$ A) $-\frac{c}{a}$. B) $-\frac{b}{a}$. C) $\frac{b}{a}$. D) $\frac{c}{a}$. Show Answer Correct Answer: D) $\frac{c}{a}$. 18. Simplify the expression below.(8x + 3-2x$^{2}$) + (5x$^{2}$-6x + 4) A) 3x$^{2}$ + 2x + 7. B) 3x$^{2}$-9x + 6. C) $^{A} $ + X-4. D) 13x $^{3} $-3x $^{2} $ + 2x. Show Answer Correct Answer: A) 3x$^{2}$ + 2x + 7. 19. Find the product (x +2)(x + 3) A) X$^{2}$ + x + 6. B) X $^{2} $ + 5x + 5. C) X$^{2}$ + 6x + 6. D) X $^{2} $ + 5x + 6. Show Answer Correct Answer: D) X $^{2} $ + 5x + 6. 20. If the square of difference of the zeroes of the quadratic polynomial x$^{2 }$+ px + 45 is equal to 144, then k = ..... A) +9 and-9. B) +12 and-12. C) +15 and-15. D) +18 and-18. Show Answer Correct Answer: D) +18 and-18. 21. A quadratic polynomial with 3 and 2 as the sum and product of its zero is: A) $x^2-2x+3$. B) $x^2-3x+2$. C) $x^2-2x-3$. D) $x^2+3x-2$. Show Answer Correct Answer: B) $x^2-3x+2$. 22. (3x$^{2}$ + 4x-2)-(5x + 7) A) X $^{a} $-p. B) 3x$^{2}$ + 9x-5. C) 3x$^{2}$-x-9. D) 3x$^{2}$-x + 5. Show Answer Correct Answer: C) 3x$^{2}$-x-9. 23. Classify by number of terms:3x$^{3}$-6x A) Monomial. B) Binomial. C) Trinomial. D) None of the above. Show Answer Correct Answer: B) Binomial. 24. Point (2, -4) lies in which quadrant A) Third. B) First. C) Second. D) Fourth. Show Answer Correct Answer: D) Fourth. 25. If p(x) = a x $^{2}$ + bx + c, then-b/a is equal to A) Product of zeroes. B) Sum of zeroes. C) 0. D) 1. Show Answer Correct Answer: B) Sum of zeroes. 26. A real number '$\alpha$' is called zero of the polynomial f(x) if ..... A) F (a) =-1. B) F (a) = 0. C) F (a) = 1. D) None of the above. Show Answer Correct Answer: B) F (a) = 0. 27. Remainder obtained when 2x$^{2}$ + 3x +1 is divided by x+2 is ..... A) 3. B) 5. C) -7. D) 2. Show Answer Correct Answer: A) 3. 28. A polynomial whose zeroes are-5 and 4 is A) X $^{2} $-5x + 4. B) X$^{2}$-9x-20. C) X$^{2}$ + x-20. D) X $^{2} $ + 5x-4. Show Answer Correct Answer: C) X$^{2}$ + x-20. 29. .$\alpha$ and $\beta$ class A) 1. B) 0. C) -$\frac{c}{a}$. D) $\frac{c}{a}$. Show Answer Correct Answer: D) $\frac{c}{a}$. 30. Find the product (x-3)(x +10) A) X$^{2}$ + 13x + 30. B) X $^{2} $ + 7x-30. C) X$^{2}$-6x-30. D) X $^{2} $-7x + 13. Show Answer Correct Answer: B) X $^{2} $ + 7x-30. 31. If the zeroes of the quadratic polynomial x$^{2 }$+ (a+1) x +$^{ }$b$^{ }$ are 2 and-3, then a and b are ..... A) A =2 b=-6. B) A = 0 b=-6. C) A=-7 b=-1. D) A=5 b=-1. Show Answer Correct Answer: B) A = 0 b=-6. 32. The rational q (x) and residue r (x) and residue r (x) that is divided by multiple p (x) but the correct relationship between them A) P(x) = g(x). r(x) + Q(x). B) P(x) = g(x). Q(x). C) P(x) = Q(x) + r(x). D) P(x) = g(x). Q(x) + r(x). Show Answer Correct Answer: D) P(x) = g(x). Q(x) + r(x). 33. Add or Subtract to Simplify:(5x + x$^{2}$-4)-(4x-x$^{2}$ + 6) A) X-10. B) 2x$^{2}$ + x-10. C) X + 2. D) 2x$^{2}$ + x + 2. Show Answer Correct Answer: B) 2x$^{2}$ + x-10. 34. The zeros of the polynomial x$^{2}$-2x-3 are ..... A) -3 and 1. B) -3 and-1. C) 3 and-1. D) 3 and 1. Show Answer Correct Answer: C) 3 and-1. 35. Find the product (x-5)(x + 1) A) X $^{2} $-5x-4. B) X$^{2}$-4x-5. C) X$^{2}$-4x-4. D) X$^{2}$ + 6x-5. Show Answer Correct Answer: B) X$^{2}$-4x-5. 36. Product of zeroes of cubic polynomial 4x$^{3}$+3x$^{2}$-2x-5 is A) -2/4. B) 5/4. C) -5/4. D) -3/4. Show Answer Correct Answer: B) 5/4. 37. The degree of the product of a quadratic and a cubic polynomial is equal to A) 2. B) 7. C) 6. D) 3. Show Answer Correct Answer: C) 6. 38. The maximum exponent of solid multiple A) 2. B) 1. C) 5. D) 3. Show Answer Correct Answer: D) 3. 39. Find the cubic polynomial whose zeroes are 5, 3 and-2 A) X$^{3-}$2x-x$^{2}$ +30. B) X$^{3 }$-6x$^{2 }$-x + 30. C) X$^{2}$-4x-1x + 10. D) X $^{2} $ + 5x $^{3} $-x + 20. Show Answer Correct Answer: B) X$^{3 }$-6x$^{2 }$-x + 30. 40. Find the product:2x(-2x-3) A) -hhh-h. B) X$^{2}$-3. C) -hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhht. D) -4x$^{2}$-6x. Show Answer Correct Answer: D) -4x$^{2}$-6x. 41. The zeroes of the polynomial f(x) = 4 x $^{2}$-12 x + 9 are: A) 3, 4. B) -3/2, 3/2. C) 3/2, 3/2. D) -3, -4. Show Answer Correct Answer: C) 3/2, 3/2. 42. Which pair is an example of like terms? A) 2a and 2b. B) X and x$^{2}$. C) 3k and 3k$^{3}$. D) Y$^{2}$ and 2y$^{2}$. Show Answer Correct Answer: D) Y$^{2}$ and 2y$^{2}$. 43. What are like terms?Terms that have ..... A) The same variables. B) The same exponents. C) The same coefficients. D) The same variables and exponents. Show Answer Correct Answer: D) The same variables and exponents. 44. The graph of P(x) = 2x-5 is a straight line which intersects x axis at one point namely: A) (5/2, -5/2). B) (0, -5/2). C) (5/2, 0). D) (-5/2, 0). Show Answer Correct Answer: C) (5/2, 0). 45. In the polynomial 4x$^{2}$ + 3x + 6, 6 is the A) Degree. B) Coefficient. C) Constant. D) Variable. Show Answer Correct Answer: C) Constant. 46. What is the EXPONENT in this expression?-5x$^{3}$ + 2 A) -5. B) 3. C) X. D) 2. Show Answer Correct Answer: B) 3. 47. Find the product:5xy(6x-y) A) 11x$^{2}$-y$^{2}$. B) 30x $^{2} $ + y $^{2} $. C) 30x$^{2}$y-5xy$^{2}$. D) 11x $^{2} $ y + 5x $^{2} $ and $^{2} $. Show Answer Correct Answer: C) 30x$^{2}$y-5xy$^{2}$. 48. Distance between points (-3, 4) and (2, 3) be A) $\sqrt{6}$. B) $\sqrt{26}$. C) $4\sqrt{2}$. D) $\sqrt{10}$. Show Answer Correct Answer: B) $\sqrt{26}$. 49. Classify by the DEGREE:3x-2 A) 4. B) 3. C) 1. D) 2. Show Answer Correct Answer: C) 1. 50. If $\alpha, \beta$ $2x^2+5x+k$ $\alpha^2+\beta^2+\alpha\beta=\frac{21}{4}$ $k$ A) 3. B) -2. C) 2. D) -3. Show Answer Correct Answer: D) -3. 51. If one zero of the polynomial 5z$^{2}$ + 13z-p is reciprocal of the other, then find p. A) 5. B) -5. C) 13. D) -13. Show Answer Correct Answer: B) -5. 52. The co-efficient of $x^4$ $3x^5-5x^3+2x^2+9x+8$ A) 4. B) 3. C) 5. D) 0. Show Answer Correct Answer: D) 0. 53. What is the degree of the polynomial?x$^{3}$y$^{2 }$-7x$^{2}$y + 3 A) A1. B) Excavate. C) S5. D) D7. Show Answer Correct Answer: C) S5. 54. The number of quadratic polynomials having zeros-2 and 5 is ..... A) 1. B) 2. C) More than 3. D) 3. Show Answer Correct Answer: A) 1. 55. Which polynomial is written in standard form? A) 4x$^{3}$ + 7x-9. B) 8x$^{}$-11x$^{2}$. C) 13x + 7x$^{2}$-9x$^{3}$ + 12. D) 12 + hh. Show Answer Correct Answer: A) 4x$^{3}$ + 7x-9. 56. The distance of a point (4, 3) from origin is A) 3. B) 4. C) 6. D) 5. Show Answer Correct Answer: D) 5. 57. Write the polynomial whose zeroes are 4 and-1 A) X$^{2 }$+3x-4. B) X$^{2 }$-3x +2. C) X$^{2 }$-3x-4. D) X$^{2 }$-3x +2. Show Answer Correct Answer: C) X$^{2 }$-3x-4. 58. If graph of a polynomial does not intersects the x-axis but intersects y-axis in one point, then no, of zeroes of the polynomial is equal to A) 0. B) 1. C) 0 or 1. D) None of these. Show Answer Correct Answer: A) 0. 59. How many terms are in this polynomial?2x$^{3 }$-8x$^{2 }$+ 3x-7 A) 7. B) 4. C) 1. D) 2. Show Answer Correct Answer: B) 4. 60. What is the number of zeroes that a linear polynomial has/have A) 2. B) 1. C) 0. D) 3. Show Answer Correct Answer: B) 1. 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