Unit 2 Review

GCF: Divide out the common factor

GCF: Common factors can be numbers or variables

GCF: Check in Calculator (numbers only)

DOTS: Difference of Two Perfect Squares

DOTS: Perfect squares must be subtracted

DOTS: Two factors one plus and one minus

Must have three terms, rearrange to standard form

a=1: Two numbers that add to b term, and multiply to ac term

a $\ne$  1: Two numbers that add to b term, and multiply to ac term, use the two numbers to expand equation

a $\ne$ 1: Grouping

Combination of GCF, DOTS, and Trinomial

Multi-step

Check GCF first, then DOTS, then Trinomial

To factor: store decimal for x, type in answer choices to see if they are equal to the original

To get a common factor: graph equation and answer choices. Look for intersection at root

To factor completely: same steps as factoring but then decide which is answer option is completely factored.

Standard form: $ax^2+bx+c$   

Graph quadratic to find roots/zeros

Roots/zeros have an equal sign

Factors have parenthesis

Get equation equal to zero, and the a term positive

Factor completely

Set each factor equal to zero

Solve for each root

List out perfect squares/cubes

Break down number into factors (one has to be a perfect square)

Take the root of each of the factors

For variables: break down based on index

 $i=\sqrt{-1}$  

Use calculator

Written in the form : a+bi

Incorporate imaginary numbers (i)

Get equation equal to zero

Identify a, b and c

 $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

Simplify (a+bi form, radical form, or rounded form)

Multiple choice (use calculator)

Isolate the radical

Undo the radical

Solve (factor or quadratic formula)

Check for extraneous roots

Multiple choice (use calculator)