Important Questions for Class 10 Maths Chapter 2 Polynomials

 Important Questions for Class 10 Maths Chapter 2: Here are some Important Questions for Class 10 Maths Chapter 2 Polynomials based on the NCERT book. The answers to these questions will aid students in getting ready for and performing well on the CBSE Class 10 Maths exam.

The Important Questions for Class 10 Maths Chapter 2 below cover the most recent syllabus that the board has mandated. They are also predicated on the most recent exam format.

Important Questions for Class 10 Maths Chapter 2 Overview

Important Questions for Class 10 Maths Chapter 2 Polynomials

CBSE Class 10 Sample Paper

Q.1: Find the value of “p” from the polynomial x ² + 3x + p, if one of the zeroes of the polynomial is 2.

Solution:

Q.2: Does the polynomial a ⁴ + 4a ² + 5 have real zeroes?

Solution:

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Q.3: Compute the zeroes of the polynomial 4x ² – 4x – 8. Also, establish a relationship between the zeroes and coefficients.

Solution:

Q.4: Find the quadratic polynomial if its zeroes are 0, √5.

Solution:

Q.5: Find the value of “x” in the polynomial 2a ² + 2xa + 5a + 10 if (a + x) is one of its factors.

Solution:

Q.6: How many zeros does the polynomial (x – 3) ² – 4 have? Also, find its zeroes.

Solution:

Q.7: α and β are zeroes of the quadratic polynomial x ² – 6x + y. Find the value of ‘y’ if 3α + 2β = 20.

Solution:

Q.8: If the zeroes of the polynomial x ³ – 3x ² + x + 1 are a – b, a, a + b, then find the value of a and b.

Solution:

Q.9: Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.

(i) 1/4, -1

(ii) 1, 1

(iii) 4, 1

Solution:

Q.10: Obtain all other zeroes of 3x ⁴ + 6x ³ – 2x ² – 10x – 5, if two of its zeroes are √(5/3) and-√(5/3).

Solution: Since this is a polynomial of degree 4, hence there will be a total of 4 roots.