Question

Find the value of k if the value of x-3 is a factor of x^2-kx-2

Answer 1

hey friend here is your answer!!!☺️☺️☺️

x - 3 is the factor of polynomial
So when x - 3 is the factor then
P(x) = 0
value of x from x - 3 is x = 3

so putting the value of x = 3 in polynomial

P(x)= x^2 - kx - 2
P(3) = 3^2 - k × 3 - 2
0 = 9 - 3k - 2
0 = 7 - 3k
3k = 7
k = 7/3

so k is equal to 7/3.


☺️☺️☺️hope it helps☺️☺️☺️