NCERT Solutions For Class 10 Maths Chapter 2 Polynomials Ex 2.4

Ex 2.4 Class 10 Maths | NCERT Solutions For Class 10 Maths Chapter 2 Polynomials Ex 2.4

Question 1.
Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeroes and the coefficients in each case:
(i) 2x³ + x² – 5x + 2;  [Math Processing Error], 1, -2
(ii) x³ – 4x² + 5x – 2; 2, 1, 1
Solution:

Ex 2.4 Class 10 Maths | NCERT Solutions For Class 10 Maths Chapter 2 Polynomials Ex 2.4

Question 2.
Find a cubic polynomial with the sum, some of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.
Solution:

Ex 2.4 Class 10 Maths | NCERT Solutions For Class 10 Maths Chapter 2 Polynomials Ex 2.4

Question 3.
If the zeroes of the polynomial x³ – 3x² + x + 1 are a-b, a, a + b, find a and b.
Solution:

Ex 2.4 Class 10 Maths 

Question 4.
If two zeroes of the polynomial x⁴ – 6x³ – 26x² + 138x – 35 are 2 ± √3, find other zeroes.
Solution:

Ex 2.4 Class 10 Maths Question 5.
If the polynomial x⁴ – 6x³ + 16x² – 25x + 10 is divided by another polynomial x² – 2x + k, the remainder comes out to be x + a, find k and a.
Solution:

For the official Class 10 Mathematics Solutions, you can visit:

1. NCERT Textbooks (for Class 10):
   https://ncert.nic.in/textbook.php?class=10