## Chapter 2 Polynomials R.D. Sharma Solutions for Class 10th Math Exercise 2.2

**Exercise 2.2**

Also, verify the relationship between the zeros and coefficients in each case:

(i) f(x) = 2x

^{3}Â +Â x

^{2}Â - 5x + 2 ; 1/2 , 1, -2

(ii) g(x) =Â x

^{3}Â - 4x

^{2}Â + 5x - 2; 2,1,1

**Solution**

2. Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and product of its zeros as 3, âˆ’1 and âˆ’3 respectively.

**Solution**

3. If the zeros of the polynomial f(x) = 2x

^{3}Â âˆ’ 15x

^{2}Â + 37x âˆ’ 30 are in A.P., find them.

**Solution**

4. Find the condition that the zeros of the polynomial f(x) =Â x

^{3}+ 3px

^{2}Â + 3qx + r may be in A.P.

**Solution**

5. If the zeroes of the polynomial f(x) = ax

^{3}Â + 3bx

^{2}Â + 3cx + d are in A.P., prove that 2b

^{3}Â - 3abc + a

^{2}d = 0

**Solution**

6. If the zeroes of the polynomial f(x) =Â x

^{3}Â - 12x

^{2}Â + 39x + k are in A.P., find the value of k.

**Solution**