Question

find the value of k using synthetic division. x^3-kx^2-6x+8;x+2 find the value of k using synthetic division. x^3-kx^2-6x+8;x+2 @Mathematics

Answer 1

K=3
-2 | 1 -k -6 8
-2 2k+4 -4k+4
____________________________
1 -2k+2 2k-2 -4k+12

-4k+12 must equal 0, in order for x+2 to be a factor.
Solving that equation, k=3.

Hope this helps!