PYQs Learn Notes Mocks Board Questions CBSE Class 10 Mathematics Polynomials 18 CBSE Class 10 Mathematics practice questions with answers and worked solutions.
About this chapter Difficulty: 15 easy · 3 moderate. Most-asked subtopics: Zeroes and Coefficients of a Quadratic Polynomial (9), Forming a Quadratic Polynomial from its Zeroes (7), Geometrical Meaning of the Zeroes of a Polynomial (2). Updated 18 September 2026. NCERT textbook · 2.1 Eg.1 Easy Has image Add #1 · Geometrical Meaning of the Zeroes of a Polynomial
Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p ( x ) y = p(x) y = p ( x ) , where p ( x ) p(x) p ( x ) is a polynomial. For each of the graphs, find the number of zeroes of p ( x ) p(x) p ( x ) . NCERT textbook · 2.2 Eg.2 Easy Add #2 · Zeroes and Coefficients of a Quadratic Polynomial
Find the zeroes of the quadratic polynomial x 2 + 7 x + 10 x^2 + 7x + 10 x 2 + 7 x + 10 , and verify the relationship between the zeroes and the coefficients. NCERT textbook · 2.2 Eg.3 Easy Add #3 · Zeroes and Coefficients of a Quadratic Polynomial
Find the zeroes of the polynomial x 2 − 3 x^2 - 3 x 2 − 3 and verify the relationship between the zeroes and the coefficients. NCERT textbook · 2.2 Eg.4 Easy Add #4 · Forming a Quadratic Polynomial from its Zeroes
Find a quadratic polynomial, the sum and product of whose zeroes are − 3 -3 − 3 and 2 2 2 , respectively. NCERT textbook · 2.2 Eg.5 Moderate Add #5 · Zeroes and Coefficients of a Quadratic Polynomial
Verify that 3 , − 1 , − 1 3 3,\ -1,\ -\dfrac{1}{3} 3 , − 1 , − 3 1 are the zeroes of the cubic polynomial p ( x ) = 3 x 3 − 5 x 2 − 11 x − 3 p(x) = 3x^3 - 5x^2 - 11x - 3 p ( x ) = 3 x 3 − 5 x 2 − 11 x − 3 , and then verify the relationship between the zeroes and the coefficients. Done a few? Here’s your next move
NCERT textbook · Ex 2.1 Q1 Easy Has image Add #6 · Geometrical Meaning of the Zeroes of a Polynomial
The graphs of y = p ( x ) y = p(x) y = p ( x ) are given in Fig. 2.10 below, for some polynomials p ( x ) p(x) p ( x ) . Find the number of zeroes of p ( x ) p(x) p ( x ) , in each case. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
NCERT textbook · Ex 2.2 Q1 (i) Easy Add #7 · Zeroes and Coefficients of a Quadratic Polynomial
x 2 − 2 x − 8 x^2 - 2x - 8 x 2 − 2 x − 8 NCERT textbook · Ex 2.2 Q1 (ii) Easy Add #8 · Zeroes and Coefficients of a Quadratic Polynomial
4 s 2 − 4 s + 1 4s^2 - 4s + 1 4 s 2 − 4 s + 1 NCERT textbook · Ex 2.2 Q1 (iii) Moderate Add #9 · Zeroes and Coefficients of a Quadratic Polynomial
6 x 2 − 3 − 7 x 6x^2 - 3 - 7x 6 x 2 − 3 − 7 x NCERT textbook · Ex 2.2 Q1 (iv) Easy Add #10 · Zeroes and Coefficients of a Quadratic Polynomial
NCERT textbook · Ex 2.2 Q1 (v) Easy Add #11 · Zeroes and Coefficients of a Quadratic Polynomial
NCERT textbook · Ex 2.2 Q1 (vi) Moderate Add #12 · Zeroes and Coefficients of a Quadratic Polynomial
3 x 2 − x − 4 3x^2 - x - 4 3 x 2 − x − 4 Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
NCERT textbook · Ex 2.2 Q2 (i) Easy Add #13 · Forming a Quadratic Polynomial from its Zeroes
1 4 , − 1 \dfrac{1}{4},\ -1 4 1 , − 1 NCERT textbook · Ex 2.2 Q2 (ii) Easy Add #14 · Forming a Quadratic Polynomial from its Zeroes
2 , 1 3 \sqrt{2},\ \dfrac{1}{3} 2 , 3 1 NCERT textbook · Ex 2.2 Q2 (iii) Easy Add #15 · Forming a Quadratic Polynomial from its Zeroes
NCERT textbook · Ex 2.2 Q2 (iv) Easy Add #16 · Forming a Quadratic Polynomial from its Zeroes
NCERT textbook · Ex 2.2 Q2 (v) Easy Add #17 · Forming a Quadratic Polynomial from its Zeroes
− 1 4 , 1 4 -\dfrac{1}{4},\ \dfrac{1}{4} − 4 1 , 4 1 NCERT textbook · Ex 2.2 Q2 (vi) Easy Add #18 · Forming a Quadratic Polynomial from its Zeroes
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