NCERT solutions for class 10 Maths chapter 2 Polynomials (Exercise 2.4)

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NCERT solutions for class 10 Maths


Chapter 2


Polynomials


Exercise 2.4


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; -1/2, 1, -2
(ii) x3 – 4x2 + 5x – 2; 2, 1, 1
Solution:


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 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 Question 4.


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


Ex 2.4 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: