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2 cards from this section. Quick, good the night before a test.
Identify the root of f(x) = x - 3.
What value makes f(x) equal to 0?
What defines a monic polynomial?
Consider the highest degree term.
A polynomial of degree n can have at most how many roots?
Consider how roots relate to the degree.
True or False: Every polynomial has at least one real root.
Think about polynomials with even degrees and positive leading coefficients.
Factor the polynomial f(x) = x^4 - 5x^2 + 6.
Try substituting a new variable to simplify the expression.
Prove that the polynomial x^5 + x + 1 has no rational roots.
Evaluate potential candidates and see if f(α) = 0 is ever true for them.
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