Find the value of ‘K’ for which ( − 1) is a factor of the polynomial
4³
+ 3²
− 4 + .
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Answer:
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Step-by-step explanation:
Let P(x)=4x
3
+3x
2
−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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