If coprime polynomials divide another polynomial, then their product divides the polynomial
128313
Euclid's Lemma for polynomials
24098
Prove that $a$ divides $b$ and $b$ divides $a$ if and only if $a = \pm b$
25034
Fermat numbers are coprime
65661
Decomposition of a homogeneous polynomial
24912
Show that if $fd'=f'd $ and the pairs $f, d $ and $f',d' $ are coprime, then $f=f' $ and $d=d' $.
131366
Cyclotomic polynomial
109778
Proving $(x-c)|(p(x)-p(c))$
117743
Remainder of the polynomial
31555
Divisor of $m$ and $n$ divides $m - qn$ (in proof of Euclidean algorithm)
43511
Proving products of coefficients of two polynomials are zero when the product of the polynomials is zero
45117
How does polynomial long division work?
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
37596
If $\gcd(a,b)= 1$ and $a$ divides $bc$ then $a$ divides $c\ $ [Euclid's Lemma]
134088
How to factorize $x^4+2x^2+4$ to a product of polynomials with real coefficients?
94516
If $3$ divides $a^2 + b^2$, then $3$ divides $a$ and $3$ divides $b$
80907
Primes dividing a polynomial
82071
divisor of a product of integers is a product of divisors