### distributive property

in an equation such as: 3(x+2) the 3 is distributed to each term of the sum (x+2).

3(x+2)=3(x) + 3(2)

### quadratic formula

way to solve any quadratic equation

the solutions of the quadratic equation ax2 +bx +c = 0 is x equals the opposite of b, plus or minus the square root of b squared(b2) minus 4ac, all divided by 2a

### vertical motion models

object is dropped: h= -16t2 + 2 (H equal negative 16t squared plus 2)

object is thrown: h= -16t2 + vt + S (H equals negative 16t squared + vt +s)

H= height (feet)

S= initial height (feet)

T= time in motion (seconds)

V= initial velocity (feet per second)

### polynomial

(an expression which is the sum of terms of the form axk where k is a non-negative integer)

a mathematical expression that is the sum of a number of terms

written in descending order

### FOIL method

a method used to multiply two binomials using the distributive property (multiple the First, Outer, Inner, Last terms

### zero product property

if the product of two factors is zero, then at least one of the factors must be zero. Ex: If ab = 0, then a = 0 or b = 0.

### factor completely

**** 9x2-15=3(3x2 - 5)****

9x square - 15 equal 3(3x square - 5)

A factorable polynomial with integer coefficients is factored completely if it is written as a product of unfactorable polynomials with integer coefficients.

### transformations

add number to both sides

subtract number from both sides

simplify one or both sides

interchange the sides ( x on left number on right)

### geometric probability

probability that is established by using geometric properties

(probability that object is tossed into a certain region)