A line that a function approaches but never intersects.
The line of symmetry of a parabola.
A polynomial function of degree zero in which the constant term ≠ 0.
The coefficient of x0 in a polynomial.
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.
A first-degree polynomial.
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.
Another name for the graph of a quadratic function.
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.
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.
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.
Values of the independent variable for which a polynomial function equals zero.
Consecutive terms of a polynomial whose coefficients have opposite signs.
The point on a parabola at which the quadratic function reaches its minimum or maximum value.
The polynomial f (x) = 0.
|Quadratic Formula||If ax2 + bx + c = 0, then x = .|