Home > Class 10 Maths > Quizzes > Class 10 Mathematics: Polynomials
Class 10 Mathematics: Polynomials
Fast practice, instant feedback. Timer auto-submits when time’s up.
Avg score: 0% • Most missed: “If α and β are the zeros of x2+35x-75, then _______”

MCQs on polynomial zeros geometrical meaning, polynomial zeros, coefficients and division.

Class 10 Mathematics: Polynomials
Time left 00:00
25 Questions

1. If α is a zero of the polynomial f(x), then the divisor of f(x) will be _________
2. If α and β are the zeros of x2+20x-80, then the value of α+β is _______
3. What will be the polynomial if its zeros are 3, -3, 9 and -9?
4. The zeros of the polynomial 18x2-27x+7 are ___________
5. If β and γ are the zeros of the polynomial ax3 + bx2 + cx + d, then the value of α2 + β2 + γ2 is _________
6. The value of a and b, if the zeros of x2+(a+5)x-(b-4) are -5 and 9 will be _________
7. If α and β are the zeros of x2+35x-75, then _______
8. The value of αβ + βγ + γα, if α, β and γ are the zeros of 2x3 – 4x2 + 9x – 7 is _______
9. Which of the following is a polynomial?
10. What will be the polynomial if the value of α + β + γ = -√3 , αβ + βγ + γα = 4 and = \(\frac {-5}{3}\)?
11. If α and β are the zeros of x2 + bx + c, then the polynomial having -α, -β as zeros is _______
12. A real number is called zeros of the polynomial p(x) if _________
13. If the zeros of a polynomial are 3 and -5, then they cut the x-axis at ____ and _____ points.
14. If the graph of a polynomial cuts the x-axis at 3 points, then the polynomial is ______
15. The graph of the polynomial 4x2-8x+3 cuts the x-axis at ________ and ________ points.
16. The graph of a quadratic polynomial cuts the x-axis at only one point. Hence, the zeros of the quadratic polynomial are equal and real.
17. What will be the value of a and b if the polynomial f(x)=30x4-50x3+109x2-23x+25, when divided by 3x2-5x+10, gives 10x2+3 as quotient and ax+b as remainder?
18. If the polynomial f(x)=x2+kx-15, is exactly divisible by x-5, then the value of k is _______
19. The biquadratic polynomial from the following is ______
20. What will be the nature of the zeros of a quadratic polynomial if it cuts the x-axis at two different points?
21. The graph of the polynomial 2x2-8x+5 cuts the y-axis at __________
22. What real number that should be added to the polynomial f(x)=81x2-31, so that it is exactly divisible by 9x+1?
23. The real number that should be subtracted from the polynomial f(x)=15x5+70x4+35x3-135x2-40x-11 so that it is exactly divisible by 5x4+10x3-15x2-5x is ____________
24. What will be the value of (α – β)2, if α and β are the zeros of 4x2 – 27x – 40?
25. The sum and product of zeros of a quadratic polynomial are 10 and \(\frac {5}{2}\) respectively. What will be the quadratic polynomial?

⚡ Recently practiced quizzes in this topic
Live quiz activity
Class 10 Maths Practice Test: Criteria for Similarity of Triangle Class 10 Maths Practice Test: Applications of Trigonometry Class 10 Maths Practice Test: Conversion of Solid from One Shape to Another Class 10 Maths Practice Test: Arithmetic Progressions Class 10 Mathematics: Coordinate Geometry MCQs for Polynomials Class 10 Maths Practice Test: Solution of Quadratic Equation by Squaring Method MCQs for Pair of Linear Equations in Two Variables Class 10 Mathematics: Circles MCQs for Introduction to Trigonometry
 
❤ If you liked Fatskills, consider supporting us by checking out The Life Manuals You Never Got.

🌈  Our mission is to help improve your scores in any subject and exam withonline quizzes, practice tests, study guides, & advice for students. Since 2018.
About | Explore | User Guide | Topics | Subjects | Doubt Solver | Career Aptitude Test | Answers | Free Tools | OSHA Basics Quiz | What Should We Know?
Privacy | Terms |
Without work one finishes nothing. - Ralph Waldo Emerson
© 2026 Fatskills.com

All trademarks, logos and brand names are the property of their respective owners. All company, product and service names used in this website are for identification purposes only. Use of these names, trademarks and brands does not imply endorsement.