Section 1

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Zero

Front

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Last updated

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Date created

Mar 1, 2020

Cards (16)

Section 1

(16 cards)

Zero

Front

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

Back

Polynomial

Front

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

Back

Synthetic Division

Front

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.

Back

Roots

Front

solutions to polynomial equations

Back

Fundamental Theorem of Algebra

Front

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.

Back

Remainder Theorem

Front

states that the remainder of a polynomial f(x) divided by a linear divisor (x - c) is equal to f(c).

Back

Coefficient

Front

a number multiplied by a variable

Back

Polynomial

Front

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

Back

End Behavior

Front

the value of f(x) as x approaches positive and negative infinity

Back

Degree

Front

the greatest exponent of its variable

Back

Relative Minimum

Front

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.

Back

Polynomial

Front

Back

Pascal's Triangle

Front

an arrangement of the values of nCr in a triangular pattern where each row corresponds to a value of n

Back

Multiplicity

Front

the number of times a root occurs at a given point of a polynomial equation.

Back

Relative Maximum:

Front

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

Back

Rational Root Theorem

Front

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:

Back