Question

The value of k, if (x - 1) is a factor of 4x + 3x² - 4x + k, is
(a) I (b) 2 (c) -3 (d) 3​

Answer 1

Step-by-step explanation:

if x - 1 is a factor then put x -1 at the place of X in the given equation we can find out

Answer 2

Step-by-step explanation:

$4x + 3x ^{2} - 4x + k \: (x - 1) \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1 \\ p(x) = 4x + 3x ^{2} - 4x + k \\ p(1) = 4(1) + 3(1) ^{2} - 4(1) + k \\ 4 + 3 - 4 + k = 0 \\ 3+ k = 0 \\ k = 0 - 3\\ k = - 3$