Question

Find the value of k if x - 2 is a factor of 4x3 + 3x2
- 4x + k

Answer 1

p(X) 4x³ + 3x² - 4x + k

x - 2 = 0

x = 2

p(2) = 4(2)³ + 3(2)² - 4(2) + k = 0

4 × 8 + 3 × 4 - 8 + k = 0

32 + 12 - 8 + k = 0

44-8 = - k

36 = -k

k = -36