Question

Find the value of k, if x - 1 is a factor of p (x) = kx2 – 3x +k​

Answer 1

k2-3+k=0

k= 3 is the right answer

Answer 2

Step-by-step explanation:

As x-1 is a factor of p(x),

Therefore, x-1=0

x=1

and thus p(1) = 0 as x-1 is a factor of p(x).

Thus taking x=1,

p(1)= k(1)² - 3(1) +k

0 = k(1)-3+k

0 = 2k-3

3 = 2k

Therefore, k=3/2