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Mathematics
Quick fact
While quadratic, cubic, and quartic equations all have general radical formulas, there is no such formula for general polynomials of degree 5 or higher—a result proven by Galois and Abel.
Why this is interesting
You've used the quadratic formula, but what if there were no formula for higher-degree equations? Some polynomials simply cannot be solved by radicals—and Galois theory explains why.
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Subjects · study & training · careers
Choose something you are considering. FACTREE will give you a clear picture of what it contains, how its main parts connect and where it could lead.
This private catalogue connects 31 subjects, study routes and careers across six broad areas. Public Maps and learner routes remain off.
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Open a subject to see its complete shape at a glance. You can always return here and choose something else.
See what programming involves, how its main areas connect, and whether you find the knowledge interesting enough to take it further.
Structuring the Programming Map…
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Administrator
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