Unit3Vocabulary

Question 1

Factored Form of a Polynomial

Answer 1

y = a(x - r₁)(x - r₂) … (x - r_n)

Question 2

Projectile Motion

Answer 2

h = -16t² + v₀t + h₀

Question 3

Local Minima

Answer 3

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

Question 4

Standard Form of a Polynomial

Answer 4

f(x) = a_nxⁿ + a_n-1x^n-1 + … + a₂x² + a₁x¹ + a₀x⁰

Question 5

Binomial

Answer 5

A polynomial with two (2) terms.

Question 6

Factored Form of a Quadratic

Answer 6

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.

Question 7

Imaginary Number

Answer 7

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

Question 8

Polynomial

Answer 8

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

Question 9

Distributive Property

Answer 9

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

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

Question 10

Discriminant

Answer 10

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.

Question 11

Degree of Polynomial

Answer 11

The highest power of any term within a polynomial.

Question 12

Zero Product Property

Answer 12

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

Question 13

Trinomial

Answer 13

A polynomial with three (3) terms.

Question 14

Complex Conjugate

Answer 14

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

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

Question 15

Complex Roots

Answer 15

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

Question 16

FOIL

Answer 16

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

Question 17

Quadratic

Answer 17

A second degree polynomial whose graph is a parabola.

Question 18

Vertex Form of a Quadratic

Answer 18

f(x) = a(x - h)² + k

Question 19

Factoring

Answer 19

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

Question 20

Long Division

Answer 20

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.

Question 21

Polynomial Multiplication

Answer 21

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

Question 22

Zeros

Answer 22

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.

Question 23

Perfect Square

Answer 23

(x - 2)² = x² - 4x + 4

Question 24

Standard Form of a Quadratic

Answer 24

f(x) = 2x² + 6x - 1

Question 25

Quadratic Formula

Question 26

Complex Number

Answer 26

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

Ex: 2 + 3i

Question 27

Local Maxima

Answer 27

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

Question 28

Synthetic Division

Answer 28

The process of dividing a polynomial by a smaller polynomial:

Question 29

Vertex

Answer 29

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

Question 30

Roots

Answer 30

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