Polynomials
19 solved questions from Class 10 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 Find the zeros of the quadratic polynomial x^2-5x+6. easy 1 mark Finding zeros of a quadratic
- 2 For the cubic polynomial p(x)=x^3-6x^2+11x-6, let its zeros be α,β,γ. Find α^2+β^2+γ^2. medium 3 marks Relations between roots and coefficients
- 3 Which of the following linear factors is a factor of the polynomial 2x^3-3x^2-8x+12? easy MCQ 1 mark Factor theorem
- 4 Find the zeros of the quadratic polynomial 3x^2-12x+9. easy 1 mark Finding zeros of a quadratic
- 5 For the polynomial p(x)=x^4-5x^3+8x^2-4x, find the value of α^2+β^2+γ^2+δ^2, where α,β,γ,δ are its zeros. hard 3 marks Sum of squares of roots using Vieta
- 6 Find the remainder when the polynomial 5x^4-3x^3+2x-8 is divided by (x+1). medium 2 marks Remainder theorem
- 7 Find the zeroes of the quadratic polynomial x² - 5x + 6. medium MCQ Zeroes of Polynomial
- 8 What is the degree of a non-zero constant polynomial? medium MCQ Degree of Polynomial
- 9 Solve for x: 2x + 5 = 15. medium MCQ Linear Equations
- 10 Find the discriminant (D) of x² - 4x + 4 = 0. medium MCQ Quadratic Discriminant
- 11 If the roots of ax² + bx + c = 0 are real and equal, what is D? medium MCQ Nature of Roots
- 12 Expand (a + b)². medium MCQ Algebraic Identities
- 13 Factorise x² - 9. medium MCQ Difference of Two Squares
- 14 Solve pair of equations: x + y = 10 and x - y = 4. medium MCQ Pair of Linear Equations
- 15 What is the degree of a quadratic polynomial? medium MCQ Degree of Polynomial
- 16 If x = 2 is a root of x² - kx + 10 = 0, find k. medium MCQ Roots of Equation
- 17 What is the domain, range, or fundamental theorem introduced in 'Polynomials' (Class 10 Mathematics)? medium MCQ Functions & Theorems
- 18 What is the derivative or integral formula associated with 'Polynomials'? medium MCQ Calculus & Formulae
- 19 How do you find the solution set or optimum value in 'Polynomials'? medium MCQ Problem Solving & Optimization