Algebra 2, Unit 2: Polynomial Functions. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
31 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a polynomial function?
- A function made of terms with non-negative integer exponents
- What is the degree of a polynomial function?
- The highest exponent among its terms
- What is the leading coefficient of a polynomial?
- The coefficient of the highest-degree term
- What does the leading coefficient and degree tell you about a polynomial's end behavior?
- Whether the graph rises or falls at both ends
- What is a cubic function?
- A polynomial function of degree 3
- What is a quartic function?
- A polynomial function of degree 4
- What is a zero (root) of a polynomial function?
- A value of x where the function equals zero
- What is the Fundamental Theorem of Algebra?
- A polynomial of degree n has exactly n complex roots, counted with multiplicity
- What is multiplicity of a root?
- The number of times a given root appears as a factor
- What does an even multiplicity root do to a graph at that point?
- The graph touches the x-axis and turns back (does not cross)
- What does an odd multiplicity root do to a graph at that point?
- The graph crosses through the x-axis
- What is synthetic division used for?
- A shortcut method for dividing a polynomial by a linear binomial
- What is the Remainder Theorem?
- Dividing a polynomial by (x - a) gives a remainder equal to f(a)
- What is the Factor Theorem?
- (x - a) is a factor of f(x) if and only if f(a) = 0
- What is the Rational Root Theorem used to find?
- Possible rational roots of a polynomial equation
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