# Unit3Vocabulary Flashcards

1
Q

Factored Form of a Polynomial

A

y = a(x - r1)(x - r2) … (x - rn)

2
Q

Projectile Motion

A

h = -16t2 + v0t + h0

3
Q

Local Minima

A

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

4
Q

Standard Form of a Polynomial

A

f(x) = anxn + an-1xn-1 + … + a2x2 + a1x1 + a0x0

5
Q

Binomial

A

A polynomial with two (2) terms.

6
Q

A

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.

7
Q

Imaginary Number

A

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

8
Q

Polynomial

A

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

9
Q

Distributive Property

A

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

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

10
Q

Discriminant

A

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.

11
Q

Degree of Polynomial

A

The highest power of any term within a polynomial.

12
Q

Zero Product Property

A

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

13
Q

Trinomial

A

A polynomial with three (3) terms.

14
Q

Complex Conjugate

A

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

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

15
Q

Complex Roots

A

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

16
Q

FOIL

A

The order to multiply a factored form quadratic to convert into standard form: First - Outer - Inner - Last

17
Q

A

A second degree polynomial whose graph is a parabola.

18
Q

A

f(x) = a(x - h)2 + k

19
Q

Factoring

A

The process of converting a quadratic or polynomial into a factored form of the equation.

20
Q

Long Division

A

The process of dividing a larger polynomial by a smaller polynomial. If there is a remainder after dividing, then the smaller polynomial is not a factor of the larger one.

21
Q

Polynomial Multiplication

A

Using the distributive property to multiply all terms in the first polynomial to all the terms in the second polynomial.

22
Q

Zeros

A

The zeros for a polynomial are defined as the points on the x-axis where the graph of the polynomial crosses. Since y is zero at these points, we define them as the zeros.

23
Q

Perfect Square

A

(x - 2)2 = x2 - 4x + 4

24
Q

A

f(x) = 2x2 + 6x - 1

25
Q

A
26
Q

Complex Number

A

A number composed of both a real and an imaginary part:

Ex: 2 + 3i

27
Q

Local Maxima

A

In a higher degree polynomial, the local maxima is a vertex with y values increasing towards the maximum before once again decreasing.

28
Q

Synthetic Division

A

The process of dividing a polynomial by a smaller polynomial:

29
Q

Vertex

A

For a quadratic equation, this is the coordinate of the minimum or maximum of the graph.

30
Q

Roots

A

Also known as zeros and x-intercepts. Where the graph of a polynomial crosses the x-axis.