find the value of k if x minus 1 is a factor of p (x )is equal to x cube + 4 x square - 4 x + k
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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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