Flashcards in Factoring Polynomials and Solving Deck (74)

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1

## When factoring by grouping, what is the first step?

### Split the expression into two parts.

2

## Step two: what do the two parenthesis need to do in order to continue factoring?

### Match

3

## What are the matching parts considered to be?

### The GCF

4

## If the first term is positive what is the GCF?

### The GCF is positive.

5

## If the first term is negative what is the GCF?

### The GCF is negative.

6

## Step two: if the two parentheses don't match what two things can you do?

###
1. Look for an error.

2. It cannot factor.

7

## What is used to check the factored expressions?

### FOIL

8

## To be sure that you are done factoring, what do you look for?

### Difference of perfect squares

9

## When factoring a sum or a difference of cubes, what is the phrase to remember?

### Crummy crummy SOPS

10

## Crummy crummy SOPS: crummy crummy =

### cube root, cube root

11

## Crummy crummy SOPS: S =

### square

12

## Crummy crummy SOPS: OP =

### opposite product

13

## Crummy crummy SOPS: second S =

### square

14

##
What is this formula used for:

a^3 + b^3 = (a+b) (a^2 - ab + b^2)

OR

a^3 - b^3 = (a-b) (a^2 + ab + b^2)

### Factoring a sum or difference of cubes

15

## When solving polynomial equations, what tells how many solutions there are?

### The biggest exponents.

16

## When factoring in quadratic form, what do you do if the exponents are twice as much (for example ax^4 + bx^2 + c)

### Nothing, don't worry.

17

## How do you check to see if you are done factoring?

###
FOIL

and make sure to look for a difference of squares.

18

## Check for ____ _____ before circling final answer.

### Cube roots

19

## If an equation cannot factor or square root, what are the two other options for solving?

### Graph or quadratic formula.

20

## If it doesn't hit the x-axis it doesn't have any ____ _________.

### real solutions

21

## If there are no real solutions, there are

### imaginary solutions

22

## Because you can't graph points that don't hit the x-axis, to solve a problem with imaginary solutions use

### quadratic formula.

23

## Polynomial vocabulary: one term; a number or a variable.

### Monomial

24

## Polynomial vocabulary: the exponent.

### Degree of a monomial

25

## Polynomial vocabulary: one or more terms connected by plus or minus.

### Polynomial

26

## Polynomial vocabulary: the greatest exponent.

### Degree of a polynomial

27

## Polynomial vocabulary: In order with the largest exponent first, then descending.

### Standard form of a polynomial

28

## Polynomial vocabulary: used to describe and classify polynomials with two terms.

### Binomial

29

## Polynomial vocabulary: used to describe and classify polynomials with three terms.

### Trinomial

30