Question

If x²+(c-2)x-c²-3c+5 is divided by x+c the reminders is -1 find the value of c ?​

Answer 1

c = -3 = \\ c = 2

Explanation:

when you do its shown in photo..........

Answer 2

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