<2 - 3x + 5x² – ²x* > x4 >is ........in Q[x] Not prime ideal ONone of the choices O Prime not maximal

Q: 7. Prove that 4 3m² – n² for all odd integers m and n.

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Q: (a) Prove that for every integer n ≥ 2, 1 n+2 1 + n+1 +...+ 2n

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Q: Show that if x is an integer, then gcd(x + 1, x2 – x + 1) divides 3. -

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Q: a) If q(n) = byn* + Bk-1n*-1+...+ b1n+ bo is a polynomial in the variable ne N with be # 0, show…

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Q: Let p be a rational prime.¹ (a) Prove that p factors nontrivially (i.e., does not stay prime) in…

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Q: ) Show that if p is a prime such that m +1< p < 2m + 1, then p divides (2m+1).

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Q: 4) Let n 2 2 be an integer, such that 2" – 1 is prime number (e.g. if n = 7 then 2" – 1 = 127 is a…

A: Solution