Question 3. Verify whether the following are zeroes of the polynomial, indicated against them. (i) p(x) = 3x + 1, x = - 1/3 (ii) p(x) = 5x – π, x = 4/5 (iii) p(x) = x^{2} – 1, x = 1, –1 (iv) p(x) = (x + 1) (x – 2), x = – 1, 2 (v) p(x) = x^{2}, x = 0 (vi) p(x) = lx + m, x = –m/l (vii) p(x) = 3x^{2} – 1, x = - 1/√3 , 2/√3 (viii) p(x) = 2x + 1, x =1/2 | |

Question 4. Find the zero of the polynomial in each of the following cases: (i) p(x) = x + 5 (ii) p(x) = x – 5 (iii) p(x) = 2x + 5 (iv) p(x) = 3x – 2 (v) p(x) = 3x (vi) p(x) = ax, a ≠ 0 (vii) p(x) = cx + d, c ≠ 0, c, d are real numbers. | |