Question

If x-1 is a factor of x²-3x+k the value of k will be
(A)-3
(B) 4
(C)2
(D) -4​

Answer 1

Answer:

(C) 2

Step-by-step explanation:

$x - 1 = 0 \\ \large{ \boxed{x = \underline{ \underline{1}}}} \\ \\ Let's \: \: assume, \: \: reminder \: \: as \: \: 0 \\ f(x)={x}^{2} - 3x + k = 0 \\ f(1)={1}^{2} - 3(1) + k = 0 \\ \: \: \: 1 - 3 + k = 0 \\ \: \: \:- 2 + k = 0 \\ \: \: \: \large{ \boxed{k = \underline{ \underline{2}}}}$