Find the value of k so the remainder is zero. (x^3-kx^2+2x-4) ÷ (x-2)

Answer 1

plugs in x=2

8-4k +4-4 = 0

8-4k = 0

8 = 4k

k=2

Answer 2

Set up the synthetic division and we want to see if P(2) = 0 based on the Remainder Theorem.

2| 1 -k 2 -4

2 4-2k 12-4k

1 2-k 6-2k 8-4k

8 - 4k = 0

-4k = -8

k = 2

The k-value is 2.