Q8Short answerExercise 2.2
2 17 = − +1 = 27 3 27 Since remainder ≠ 0, so, p(x) is not a multiple of g(x). x 1 3 (ii) g(x) = − = 0 gives x = 3 4 4 3 g(x) will be a factor of p(x) if p = 0 (Factor theorem) 4 3 2 3 3 3 3 Now, p = 8 − 6 − 4 + 3 4 4 4 4 27 9 = 8× −6× −3+ 3 = 0 64 16 3 Since, p = 0, so, g(x) is a factor of p(x). 4