Question

If x – 1 is a factor of 4x 3 + 3x 2

– 4x + k, then k =​

Answer 1

Answer:

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Answer 2

Answer:

k= -3

Step-by-step explanation:

Given,

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

x-1 is the Factor of p(x).

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

Hope this will help you!!