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Find the value of 'K' for which (x-1) is a factor of the polynomial 4 x power3 + 3 x power2 - 4x + k.?? can anyone help me in this way??​

Answer»

<P>Answer:

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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