Answer:
k = - 3.6
Explanation:
Given x = - 2 is a zero then f(- 2) = 0
Substitute x = - 2 into the polynomial and equate to zero
(- 2)² - 7(- 2) + 5k = 0
4 + 14 + 5k = 0
18 + 5k = 0 ( subtract 18 from both sides )
5k = - 18 ( divide both sides by 5 )
k = - 3.6