Question

find the value of k if x - 1 is a factor of p (x) is equal to 4 x³+ 3 x² - 4 x + k

Answer 1

here is your answer friend.

Answer 2

$x - 1$
$x = 1$

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