Question

The coefficient of p³ in the expansion of: p(2p²+3p³+3)

Answer 1

Answer:

3

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

We have the following p-adic expansion in Z7:

2 = (2, 0, 0, 0, 0, 0, 0, 0, 0, 0, . . .)

2002 = (0, 6, 5, 5, 0, 0, 0, 0, 0, 0, . . .)

−2 = (5, 6, 6, 6, 6, 6, 6, 6, 6, 6, . . .)

2

−1 = (4, 3, 3, 3, 3, 3, 3, 3, 3, 3, . . .)

5

−1 =

(

(3, 1, 4, 5, 2, 1, 4, 5, 2, 1, . . .)

√ (3, 1, 2, 6, 1, 2, 1, 2, 4, 6 . . .)

2 =

(4, 5, 4, 0, 5, 4, 5, 4, 2, 0 . . .)

√5

2 = (4, 6, 1, 3, 6, 4, 3, 5, 4, 6 . . .)

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