1. Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. 2: Write the co-efficients of x2 in each of the following: (i) 2 + x2 + x The co-efficient of x2 is 1. (ii) 2 – x2 + x3 The co-efficient of x2 is (–1). ∴ The co-efficient of x2 is 0. 3. Give one example each of a binomial of degree 35, and of a monomial of degree 100. (i) A binomial of degree 35 can be: 3x35 – 4 4. Write the degree of each of the following polynomials: 5. Classify the following as linear, quadratic and cubic polynomials: (i) x2 + x (ii) x – x3 (iii) y + y2 + 4 (iv) 1 + x ( v ) 3t (vi) r2 (vii) 7x3 (i) x2 + x ∵ The degree of x2 + x is 2. ∴ It is a quadratic polynomial. (ii) x – x3 ∵ The degree of x – x3 is 3. ∴ It is a cubic polynomial. (iii) y + y2 + 4 ∵ The degree of y + y2 + 4 is 2. ∴ It is a quadratic polynomial. (iv) 1 + x ∵ The degree of 1 + x is 1. ∴ It is a linear polynomial. (v) 3t ∵ The degree of 3t is 1. ∴ It is a linear polynomial. (vi) r2 ∵ The degree of r2 is 2. ∴ It is a quadratic polynomial. (vii) 7x3 ∵ The degree of 7x3 is 3. ∴ It is a cubic polynomial.