## 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) 2x ^{3}+x^{2}-5x+2; -1/2, 1, -2**

**(ii) x**

^{3}– 4x^{2}+ 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 x ^{3} – 3x^{2} + x + 1 are a-b, a, a + b, find a and b.**

**Solution:**

**Ex 2.4 Question 4.**

**If two zeroes of the polynomial x ^{4} – 6x^{3} – 26x^{2 }+ 138x – 35 are 2 ± √3, find other zeroes.**

**Solution:**

**Ex 2.4 Question 5.**

**If the polynomial x ^{4} – 6x^{3} + 16x^{2} – 25x + 10 is divided by another polynomial x^{2} – 2x + k, the remainder comes out to be x + a, find k and a.**

**Solution:**