#### Chapter 6 Factorization of Polynomials R.D. Sharma Solutions for Class 9th Math Exercise 6.1

**Exercise 6.1**

1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:

3. Write the degrees of each of the following polynomials:

4. Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

**Solution**

**Solution**

3. Write the degrees of each of the following polynomials:

**Solution**

4. Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

**Solution**

5. Classify the following polynomials as polynomials in one-variable, two variables etc.:

**Solution**

6. Identify polynomials in the following:

**Solution**

(i) It is a polynomial. The power of variable of all 'x' is positive integer.

(ii) It is not a polynomial since the exponent of √x is a negative integer.

(iii) It is a polynomial. The power of variable of all 'x' is positive integer.

(iv) It is not a polynomial since the exponent of 4/x is a negative integer.

(v) It is a polynomial. The power of variable of all 'x' is positive integer.

(vi) It is not a polynomial. Since the exponent of 3/x is a negative integer.

7. Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

**Solution**

8. Give one example each of a binomial of degree 35, and of a monomial of degree 100.

**Solution**

Example of a binomial with degree 35: 6x

^{35}-25
Example of a monomial with degree 100: 3z

^{100}