Below are the best / most important questions from Class 10 Mathematics (JCERT / NCERT) – Chapter 2: Polynomials. These are high-priority board questions and are ideal for exam preparation and revision.
Class 10 Maths – Chapter 2: Polynomials (Best Questions)
1. Very Important Questions (4–5 Marks)
Find the zeroes of the quadratic polynomial p(x) = x^2 – 7x + 10 and verify the relationship between zeroes and coefficients. Find a quadratic polynomial whose: Sum of zeroes = 5 Product of zeroes = 6 Find the value of k so that the polynomial 2x^2 + kx + 8 has equal zeroes. Find the zeroes of a polynomial graphically and identify the points where the graph cuts the x-axis.
2. Important Questions (3 Marks)
Find the zeroes of: x^2 – 3x – 10 If α and β are the zeroes of x^2 + 4x + 3, find: (a) α + β (b) αβ Find a polynomial whose zeroes are 2 and −3.
3. Short Answer Questions (2 Marks)
Find the zeroes of: x^2 – 9 Write the relationship between: Sum of zeroes and coefficients Product of zeroes and coefficients Find the value of k if one zero of x^2 + kx – 6 is 2.
4. Objective / 1-Mark Questions
How many zeroes does a quadratic polynomial have? What is the degree of the polynomial 5x^3 – 2x + 1? If one zero of a polynomial is 0, what is the constant term?
5. HOTS / Board-Level Questions
If the sum and product of zeroes of a quadratic polynomial are equal, find the polynomial. Find the quadratic polynomial whose zeroes differ by 2 and whose sum is 6.
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