• ### Asymptote

A line that a function approaches but never intersects.

• ### Axis

The line of symmetry of a parabola.

• ### Constant Function

A polynomial function of degree zero in which the constant term ≠ 0.

• ### Constant Term

The coefficient of x0 in a polynomial.

• ### Degree

The value of n in a polynomial f (x) = anxn + an-1xn-1 + ... + a1x + a0, where an≠ 0. If f (x) = 0, then the degree is undefined.

• ### Descartes' Rule of Signs

Descartes' Rule of Signs states that the number of positive real roots is less than or equal to the number of variations in the function f (x). It also states that the number of negative real roots is less than or equal to the number of variations in the function f (- x).

The value of an in a polynomial f (x) = anxn + an-1xn-1 + ... + a1x + a0, where an≠ 0 unless f (x) = 0.

• ### Linear Function

A first-degree polynomial.

• ### Multiplicity

If (x - c)n is a factor of a polynomial but (x - c)n+1 is not, the root c is said to be a root of multiplicity n.

• ### Parabola

Another name for the graph of a quadratic function.

• ### Polynomial

An expression of one variable of the form anxn + an-1xn-1 + ... + a2x2 + a1x + a0, where an, an-1,..., a1, a0 are real numbers, n is a nonnegative integer, and an≠ 0.

• ### Polynomial Function

A function that is defined by a polynomial; it is of the form f (x) = anxn + an-1xn-1 + ... + a2x2 + a1x + a0, where an, an-1,…, a1, a0 are real numbers, n is a nonnegative integer, and an≠ 0.

A second-degree polynomial.

• ### Rational Function

A function which can be expressed as the quotient of two polynomial functions.

• ### Rational Root Theorem

The Rational Root Theorem is a useful tool in finding the roots of a polynomial function f (x) = anxn + an-1xn-1 + ... + a2x2 + a1x + a0. If the coefficients of a polynomial are all integers, and a root of the polynomial is rational (it can be expressed as a fraction in lowest terms), the Rational Root Theorem states that the numerator of the root is a factor of a0 and the denominator of the root is a factor of an.

• ### Root

Values of the independent variable for which a polynomial function equals zero.

• ### Variation

Consecutive terms of a polynomial whose coefficients have opposite signs.

• ### Vertex

The point on a parabola at which the quadratic function reaches its minimum or maximum value.

• ### Zero Polynomial

The polynomial f (x) = 0.

• ### Formulae

 Quadratic Formula If ax2 + bx + c = 0, then x = .