278 results in Content created by Newcastle University - search across all projects.
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Question by
Newcastle University Mathematics and Statistics
Expanding products of 3 linear polynomials over $\mathbb{Z}_3,\;\mathbb{Z}_5,\;\mathbb{Z}_7$
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Question by
Newcastle University Mathematics and Statistics
$f(X)$ and $g(X)$ are polynomials over $\mathbb{Z}_n$.
Find their greatest common divisor (GCD) and enter it as a monic polynomial.
Hence factorize $f(X)$ into irreducible factors.
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Question by
Newcastle University Mathematics and Statistics
and 1 other
Factorise 4 polynomials over $\mathbb{Z}_5$.
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Question by
Newcastle University Mathematics and Statistics
No description given
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Question by
Newcastle University Mathematics and Statistics
Given polynomial $f(X)$, $g(X)$ over $\mathbb{Q}$, find polynomials $q(X)$ and $r(X)$ over $\mathbb{Q}$ such that $f(X)=q(X)g(X)+r(X)$ and $\operatorname{deg}r(X) \lt \operatorname{deg}g(X)$.
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Question by
Newcastle University Mathematics and Statistics
$f(X)$ and $g(X)$ as polynomials over the rational numbers $\mathbb{Q}$.
Find their greatest common divisor (GCD) and enter as a normalized polynomial.
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Question by
Newcastle University Mathematics and Statistics
Modular arithmetic. Find the following numbers modulo the given number $n$. Three examples to do.
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Exam (31 questions) by
Newcastle University Mathematics and Statistics
Questions used in a university course titled "Accounting and Finance"