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2 cards from this section. Quick, good the night before a test.
Define irreducible polynomial in simple terms.
Think about what would happen if we could break it down.
In GF(5), what would be the result of adding (3x + 4) and (2x + 2)?
Be careful with adding coefficients!
What is the result of adding 2x^2 + 2 and x^2 + 1 in GF(3)?
Remember to add coefficients considering modulo.
True or False: The product of any two non-zero elements in a field cannot be zero.
Recall the definition of field behavior.
If f(x) = x^4 + 1 and g(x) = x^2 + 2, determine their GCD over GF(5).
Start by dividing the higher degree polynomial.
Prove that (x - 3) is a factor of f(x) = x^3 - 9 in GF(10).
Check for roots directly in the polynomial.
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