Question

Find the value of k if (x-3) is a factor of x²-kx-2 (detailed answer needed)

Answer 1

7/3 is the answer......
x=3
putting the value of x in
the above equation
9-3k-2
7-3k
7=3k
k=7/3

Answer 2

(x-3) is a factor of x²-kx-2

x-3 = 0
x = 3

∴ x = 3 is a factor of given equation

x²-kx-2 = 0
3²-k(3)-2 = 0
9-3k-2 = 0
-3k+7 = 0
-3k = -7
3k = 7
k = 7/3