Answer:

-3

Step-by-step explanation:

Let P(x)=4x3+3x2−4x+k

Given,  (x−1) is a factor of P(x)

x−1=0

x=1∴ p(1)=4×(1)2+3×(1)2−4×(1)+k=0

4+3−4+k=0

k+3=0

k=−3

Hence, the value of k is −3

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