Question

Find the value of k, if x - 1 is a factor of 4r + 3x² - 4x + k. ​

Answer 1

$\huge\mathfrak\red{Answer}$

$As \: x -1\:is\:a\: factor\: of \: p(x)$

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

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

$= > 4 + 3 - 4 + k = 0$

$= > k = - 3$