[EXERCISE 2.1 .1 I. Which of the following expressionsare polynomials in one variable and which are not? Give reasons for your answer. (I) 3x2 + 4x + 15 (ii) 5x3 - 4.x-2 + 6x - 3 (iii) 5 + 8x3/2 + 4x2 Yeiv) 4.1; + 2 1 (v) Y (vi) -sfic+ 6 (vii) X2 ++ 4 (viii) x2 -x . (ix)x2 xy + 3 (x) xl5 +31° + z9 2. Write the degree of each of the following polynomials: (I) 5x 4- 3 (ii) 3x2 + x + 5 (iii) 5x 3+ 7x2 + 3x + 2 (iv) 7x2 + 6x4 + 5x + 8x3 + 8 (v) 0 (vi) 6 (vii) 4 - 3x2 + 5x3 + 7'8 -x25 (viii) 1 - "Ix+ x2 (ix) -1§X3 + 2 3. Write the coefficient of X2 in each of the following: (i) X2 -4- 4x + 3 (ii) 5 + 3x + 2x2 (iii)x3 - 3x2+ 2x + 3 (iv) - 5x2 + x4 + 2x5(v) (x - 7)2 (vi) (2x - 1)2 (vii) (x - 3)3 4. Classify the following as linear, quadratic and cubic polynomials: (i) x + 2 (ii) x2(iii)4y(iv) 3x2 + 3x (v) x3 + 2x2 + 4 (vi)(x + 3)3 - x3 (vii) (2 - x)2 - X2