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University of California, Berkeley *

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Mathematics

Date

Feb 20, 2024

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Uploaded by MegaInternet13023

Q1.1 1 Point True/False: For modular arithmetic modulo a prime p, ab = 0 (mod p) if and only if a=0 (mod p) orb =0 (mod p). ® True O False Q1.2 1 Point If p(z) has a root at z = 4, what is the value of p(4)? 0 Q1.3 1 Point If p(z) = (z — 2)(x + 3) over the reals, what is the largest root? 2 Q1.4 1 Point What is the maximum number of roots of a polynomial of degree d over arithmetic module a prime p? 01 Od-1 ®d Od+1 Q1.5 1 Point 4 is a root of the polynomial (z + 1)(z — 3) (mod 5). ® True O False

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