If f(x) is a polynomial function, then the values of x for which f(x) = 0 are called the zeros of the function. Graphically, these are the x intercepts
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Polynomial
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a mathematical expression involving a sum of nonnegative integer powers in one or more variables multiplied by coefficients. A polynomial in one variable with constant coefficients can be written in form
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Synthetic Division
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Synthetic division is a shortcut method for dividing a polynomial by a linear factor of the form (x - a). It can be used in place of the standard long division algorithm.
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Roots
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solutions to polynomial equations
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Fundamental Theorem of Algebra
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every non-zero single-variable polynomial with complex coefficients has exactly as many complex roots as its degree, if each root is counted up to its multiplicity.
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Remainder Theorem
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states that the remainder of a polynomial f(x) divided by a linear divisor
(x - c) is equal to f(c).
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Coefficient
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a number multiplied by a variable
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Polynomial
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a mathematical expression involving a sum of nonnegative integer powers in one or more variables multiplied by coefficients. A polynomial in one variable with constant coefficients can be written in form
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End Behavior
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the value of f(x) as x approaches positive and negative infinity
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Degree
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the greatest exponent of its variable
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Relative Minimum
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a point on the graph where the function is increasing as you move away from the point in the positive and negative direction along the horizontal axis.
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Polynomial
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Pascal's Triangle
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an arrangement of the values of nCr in a triangular pattern where each row corresponds to a value of n
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Multiplicity
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the number of times a root occurs at a given point of a polynomial equation.
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Relative Maximum:
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a point on the graph where the function is decreasing as you move away from the point in the positive and negative direction along the horizontal axis
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Rational Root Theorem
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a theorem that provides a complete list of all possible rational roots of a polynomial equation. It states that every rational zero of the polynomial equation ,where all coefficients are integers, has the following form: