query: If the polynomial $x^4-6x^3+16x^2-25x+10$ is divided by another polynomial $x^2-2x+k$, the
positive_passages.docid: 156545
positive_passages.text: Find undetermined coefficients in polynomial quotient and remainder
negative_passages.docid: 15191
negative_passages.text: If $a^2$ divides $b^2$, then $a$ divides $b$
negative_passages.docid: 77076
negative_passages.text: Proof that $(x-1)^2$ divides a $nx^{n+1} – (n+1)x^{n}+1$
negative_passages.docid: 131551
negative_passages.text: $pq\mid pn^q+qn^p+kn$ for some $k,\,$ if $p,q$ are primes
negative_passages.docid: 129834
negative_passages.text: Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
negative_passages.docid: 39346
negative_passages.text: Let $R= \mathbb{Q}[x^2 ,x^3 ]$, the set of all polynomials over $\mathbb{Q}$ with no $x$ term. Show that the $\gcd$ of $x^5$ and $x^6$ does not exist
negative_passages.docid: 43499
negative_passages.text: Repeatedly taking differences on a polynomial yields the factorial of its degree?
negative_passages.docid: 114529
negative_passages.text: Factoring/Reducing a polynomial $x^4 -2x^3 + 2x^2 + x + 4$
negative_passages.docid: 97729
negative_passages.text: Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
negative_passages.docid: 155527
negative_passages.text: Find coefficient for $x^{10}$ in $x^3(x^2-3x^3-1)^6$
negative_passages.docid: 54212
negative_passages.text: Another polynomial equation
negative_passages.docid: 108264
negative_passages.text: A polynomial is called a Fermat's polynomial...
negative_passages.docid: 131869
negative_passages.text: How to find all polynomials P(x) such that $P(x^2-2)=P(x)^2 -2$?
negative_passages.docid: 31544
negative_passages.text: How to prove that this polynomial is larger than another for positive reals?
negative_passages.docid: 141184
negative_passages.text: Proof that a degree 4 polynomial has at least two roots
negative_passages.docid: 107816
negative_passages.text: Solving a six-degree polynomial of the form $ax^6+bx^3+g$.
negative_passages.docid: 105395
negative_passages.text: Minimal polynomial of $1 + 2^{1/3} + 4^{1/3}$