find the value of k if ( x - 1) is a factor of 4 x cube + 3 x square - 4x + k is
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k = - 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)³ + 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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