Question

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Answer 1

Answer:

K = - 3

Step-by-step explanation:

Explaination is in the attachment.

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Answer 2

Answer:

$\bold\red{k=-3}$

Step-by-step explanation:

Given , a Polynomial

$4 {x}^{3} + 3 {x}^{2} - 4x + k$

Now,also it is being given that,

( x -1 ) is a factor of the given Polynomial

Therfore,

x - 1 = 0

will be the Solution for this Polynomial

Therefore,

x = 1 is Solution of the polynomial

Therefore,

$= > 4 {(1)}^{3} + 3 {(1)}^{2} - 4 \times 1 + k = 0 \\ \\ = > 4 + 3 - 4 + k = 0 \\ \\ = > 3 + k = 0 \\ \\ = > k = - 3$

Hence, k = -3