# Megan

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# 31 Questions

 3 Is $a$ in relation to $b$ if and only if $a+b$ congruent to $0$ (mod) transitive. 2 Show that for all integers $a,b$ and every $n>0$, $(a+b)^n ≡ a^n + b^n \pmod 2$ 2 In $P_2$, find the change-of-coordinates matrix 1 Given two circles, find the length of a pulley belt that connects the two. 1 Show that in ℝ[x], no polynomial of odd degree > 1 is irreducible. [duplicate]

# 111 Reputation

 +5 Given two circles, find the length of a pulley belt that connects the two. +5 Show that in ℝ[x], no polynomial of odd degree > 1 is irreducible. +5 Using trial division in $\mathbb{Z}/2\mathbb{Z}[x]$, factor $x^6+x^4+x$ into a product of irreducible polynomials. +5 Show that for all integers $a,b$ and every $n>0$, $(a+b)^n ≡ a^n + b^n \pmod 2$

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# 8 Tags

 0 elementary-number-theory × 24 0 matrices 0 calculus × 2 0 geometry 0 linear-algebra × 2 0 statistics 0 congruences 0 number-theory

# 2 Accounts

 Mathematics 111 rep 7 Stack Overflow 1 rep 4