## RD Sharma Class 10 Solutions Chapter 2 Polynomials Ex 2.2

These Solutions are part of RD Sharma Class 10 Solutions. Here we have given RD Sharma Class 10 Solutions Chapter 2 Polynomials Ex 2.2

**Other Exercises**

- RD Sharma Class 10 Solutions Chapter 2 Polynomials Ex 2.1
- RD Sharma Class 10 Solutions Chapter 2 Polynomials Ex 2.2
- RD Sharma Class 10 Solutions Chapter 2 Polynomials Ex 2.3
- RD Sharma Class 10 Solutions Chapter 2 Polynomials VSAQS
- RD Sharma Class 10 Solutions Chapter 2 Polynomials MCQS

**Question 1.**

Verify that numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients in each case :

(i) f(x) = 2x^{3} – x^{2} – 5x + 2 ; \(\frac { 1 }{ 2 }\) , 1, -2

(ii) g(x) = x^{3} – 4x^{2} + 5x – 2 ; 2, 1, 1

**Solution:**

**Question 2.**

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

**Solution:**

**Question 3.**

If the zeros of the polynomial f(x) = 2x^{3} – 15x^{2} + 37x – 30 are in AP. Find them.

**Solution:**

**Question 4.**

Find the condition that the zeros of the polynomial f(x) = x^{3} + 3px^{2} + 3qx + r may be in AP.

**Solution:**

**Question 5.**

If the zeros of the polynomial f(x) = ax^{3} + 3bx^{2} + 3cx + d are in A.P., prove that 2b^{3} – 3abc + a^{2}d = 0.

**Solution:**

**Question 6.**

If the zeros of the polynomial f(x) = x^{3} – 12x^{2} + 39x + k are in AP, find the value of k.

**Solution:**

Hope given RD Sharma Class 10 Solutions Chapter 2 Polynomials Ex 2.2 are helpful to complete your math homework.

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