Chapter 2 - Introduction to Linear Polynomials

Math Solutions: Polynomials, Number Systems, and Identities Chapter 2 - Introduction to Linear Polynomials Exercise Set 2.2 Q1. Find the value of the linear polynomial 5x – 3 if: (i) x = 0 (ii) x = –1 (iii) x = 2 Solution: Substitute the given values of x into the polynomial. (i) If x = 0 : 5(0) - 3 = -3 . (ii) If x = -1 : 5(-1) - 3 = -5 - 3 = -8 . (iii) If x = 2 : 5(2) - 3 = 10 - 3 = 7 . Q2. Find the value of the quadratic polynomial 7s² – 4s + 6 if: (i) s = 0 (ii) s = –3 (iii) s = 4 Solution: Substitute the values of s into the polynomial. (i) If s = 0 : 7(0)² - 4(0) + 6 = 6 . (ii) If s = -3 : 7(-3)² - 4(-3) + 6 = 7(9) + 12 + 6 = 63 + 18 = 81 . (iii) If s = 4 : 7(4)² - 4(4) + 6 = 7(16) - 16 + 6 = 112 - 10 = 102 . Q3. The present age of Salil’s mother is three times Salil’s present age. After 5 years, their ages will add up to 70 years. Find their present ages. Solution: Let Salil's present age be x years. Salil's mother's present age = 3x years. After 5 years, Salil's …