Question

find the value of k if (x_2) is a factor of x²_kx+10​

Answer 1

Answer:

k = 7

Step-by-step explanation:

(x-2) is a factor of x² - kx +10 = 0

Therefore,

x-2 = 0

x = 2

Now,

x² - kx + 10 = 0

2² - 2k + 10 = 0 (Putting x = 2)

4 - 2k + 10 = 0

-2k + 14 = 0

-2k = -14 (Multiplying both sides with - )

2k = 14

k = 14/2

k = 7

.

Hope it helps!