Question

find the value "k" if x-1 is the factor of kx^2-3x+k​

Answer 1

Given,

• (x-1) is factor of kx^2 - 3x + k

To find :

• Value of "k"

Solution :

$p(k) = k {x}^{2} - 3x + k$

• Place x = 1

$0 = k {(1)}^{2} - 3(1) + k$

$0 = k - 3 + k$

$0 = 2k - 3$

$2k = 3$

$k = \dfrac{3}{2}$

Therefore , the value of k is [3/2]