# Unit3Vocabulary Flashcards

Factored Form of a Polynomial

y = a(x - r_{1})(x - r_{2}) … (x - r_{n})

Projectile Motion

h = -16t^{2} + v_{0}t + h_{0}

Local Minima

In a polynomial, this is the minimum value for a local vertex of that polynomial graph.

Standard Form of a Polynomial

f(x) = a_{n}x^{n} + a_{n-1}x^{n-1} + … + a_{2}x^{2} + a_{1}x^{1} + a_{0}x^{0}

Binomial

A polynomial with two (2) terms.

Factored Form of a Quadratic

The form of a quadratic equation that uses the zeros of the quadratic:

__Ex__: (x - 2)(x + 4) where 2 and -4 are roots or zeros.

Imaginary Number

Defined as the square root of negative one and represented by a lowercase i.

Polynomial

An algebraic expression where all terms contain only positive integer exponents.

Distributive Property

The process of multiplying a term to every term in a set of terms within parentheses:

__Ex__: 2(x + 5) = 2x + 10

Discriminant

The part of a quadratic equation under the square root. It can be used to determine if a quadratic has real or complex roots. If the discriminant is positive, then real roots, otherwise complex roots.

Degree of Polynomial

The highest power of any term within a polynomial.

Zero Product Property

If two or more numbers equal zero when multiplied together, then one of the numbers must equal zero.

Trinomial

A polynomial with three (3) terms.

Complex Conjugate

A complex number when multiplied to its conjugate will produce a real number.

__Given__: 2 - 3i then 2 + 3i is the complex conjugate

Complex Roots

Complex roots exist when the x-intercepts for a polynomial do not cross the x axis.