Question

if x-k is a factor of the polynomial x^2-kx+k-2 Then what is the value of k?

Answer 1

Answer:

Step-by-step explanation:

“if x^2+kx+k has two distinct real solution, the the value of k will satisfy ? “

hello,

given :

x^2+kx+k

it has two distinct real solution

it will satisfy b^2–4ac > 0

here b = k

a = 1;

k^2–4(1)k > 0

k^2 - 4k > 0

k(k - 4) > 0

1 → k > 0

2 → k > 4  ans….

Answer 2

Answer:

Value of k = 2

Step-by-step explanation:

Given data

given polynomial p(x) = x² - kx + k -2

        and (x-k) is factor of p(x)  

here we need to find the value of k

if x- k is factor of p(x) then     x - k =0

                                                x = k

now p(k) will be equals to 0

p(k) = (k)² - (k)k + k -2  = 0

           k² - k² + k -2 = 0

                        k - 2 = 0

                           k  = 2