Answer:
c = 3
Explanation:
A polynomial f(x) divided by (x + c) has remainder f(- c)
Substitute x = - c into the polynomial and equate to the remainder - 1
(- c)² + (c - 2)(- c) - c² - 3c + 5 = - 1 , simplify left side
c² - c + 2c - c² - 3c + 5 = - 1 , collect like terms on left side
- 2c + 5 = - 1 ( subtract 5 from both sides )
- 2c = - 6 ( divide both sides by - 2 )
c = 3