Flashcards in 5.5-5.7 Deck (18):

1

## End behavior for leading coefficient positive and degree sign even

### Open up quadratic

2

## End behavior for leading coefficient negative and degree sign even

### Open down quadratic

3

## End behavior for leading coefficient positive and degree sign odd

### Positive linear line

4

## End behavior for leading coefficient negative and degree sign odd

### Negative linear line

5

## Use long division

###
Just like division

Put remainder over what divided by

6

## Remainder theorem

### If polynomial y is divided by x-k, then the remainder is y

7

## Remainder theorem example

### Used in synthetic division, what's the last number is the remainder

8

## Synthetic division

###
Divide by x+2, so x=-2, put in box, use synthetics, then what you get add x's and the last number is the remainder

Ex 1,2,-9, 21

1x cubed+ 2x squared-9+ 21/x+2

9

## Factor theorem

### Y has factor x-k if and only if y=o

10

##
Factor polynomial given

x-k

### Do synthetic division, then do (x-k)(what was left from division) then factor

11

## Find other zeros when given a zero

### Use that zero to plug into for synthetic division in the box, then factor

12

## Rational zero theorem

###
If polynomial has integers as coefficients then every rational zero has this form

P/Q= factor of constant over factor of leading coeifficent

13

## Apply rational zero theorem

###
LC:1

C:2,4,6

So possibles are 2/1,4/1,6/1 all plus or minus

14

## Find all real zeros using calc

###
2nd

Y=

Graph

15

## Find all zeros

### Synthetic division after guessing with LC and C

16

## Complex conjugate and irrational

###
If one is present both are, so plus or minus

Ex a-bi so there is a-bi AND a+bi

17

## (A+b)(a-b)

### A^2-B^2

18