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2 cards from this section. Quick, good the night before a test.
What is the remainder when dividing 2x^3 + x by x + 1?
Use synthetic division method.
True or False: All polynomials are reducible.
Think of irreducible polynomials.
What is the result when you divide a polynomial by itself?
Remember division properties.
True or False: The polynomial x^2 + 1 is irreducible over the real numbers.
Think about solving for roots.
Given the polynomial f(x) = x^3 - 7x + 6, determine if it’s irreducible over the rationals.
Evaluate potential rational roots.
Find the GCD of f(x) = x^4 + 2 and g(x) = x^2 + 1 using the Euclidean algorithm.
Perform polynomial long division.
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