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Natalija [7]
3 years ago
14

If p − 1 is a factor of p4 + p2 + p − k, the value of k is

Mathematics
2 answers:
VashaNatasha [74]3 years ago
8 0

Answer:

k=3

Step-by-step explanation:

s2008m [1.1K]3 years ago
5 0
P-1 is a factor.
∴p=1 is one of the root of p⁴ + p² + p -k
f(p)  = p⁴ + p² + p - k
∴ f(1)  = 1⁴ + 1 ² + 1 - k = 0
∴ k = 3
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