Show:
Basics
Factoring by Grouping
Factoring when a=1
Distribution
Perfect Square Binomial/Trinomial
100

The three components of a quadratic term

E.g. 3x2

What are a coefficient, an exponent, and a variable?

100

First step of Factoring when Grouping

What is the Finding the A,B, and C OR AC/B table?

100

Factoring method that we can use when a=1

what is AC/B shortcut?

100

FOIL (what does it stand for?)

What is the shortened form of First, Outside, Inside, Last?

Bonus: What is the other name we use for FOIL?

100

Definition of binomial

What do we call it when you have two terms?

200

The opposite of distribution

What is factoring?

200

Grouping by factoring can only be used when...

1.) a>1

2.) a<1

What is the factoring method we use when a>1?
200

What is a factor of -56 that gets you to -1

What is -7 and 8?

200

The operation we use when we distribute

What is multiplication?

200

Definition of a perfect square trinomial

What is....

a and c coefficients are perfect squares

b coefficient is twice the product of the square roots of a and c coefficients.

300

Standard form of a quadratic equation

What is ax^2+bx+c?

300

The GCF and quotient of (4x2+10x3)

What is 2x2(2+5x)?

300

Which of the following expressions can you factor using the AC/B table shortcut? Select all that apply.


  1.      x2+x-6

  2.     x3+3x2+x-2

  3.     4x2-2x+1

   4.     x2+8x+12

What is 1 and 4?

300

Simplify 4x(2+5x3+5y)

What is 8x+20x4+20xy?

300

An example of a perfect square trinomial

  1. a2+4x+20

  2. 9a2-30a+25

  3. 2a2-6a-12

   4. a2-12a-6

What is 9a2-30a+25?

Bonus point: Why is this a perfect square trinomial?

400

The GCF of (4x2+10x3-16x+8x2)

What is 2x2

400

Name all steps of factoring by grouping

What are:

  1. Find AC and B and determine factors of AC that sum to B

  2. Rewrite polynomial with both factors as coefficients of x

  3. Group into two parts

  4. Factor out GCF of each part

  5. Rewrite as two factors by

    1. adding GCFs of each group

    2. Rewriting the common factor

400

Factored form of x2+2x-8

What is the quadratic form of (x-4)(x+2)?

400

Simplify 3x2(x2-y-3x+12y2)

What is 3x4-3x2y-9x3+36x2y2?

400

Factor of 4x2+20x+25

What is (2x+5)(2x+5)?

500

Name all the factoring methods we have learned so far

What is Factoring out the GCF, AC/B table short cut, factoring by grouping, perfect square binomial, perfect square trinomial

500

Factor of 5x2-18x+9

What is (5x-3)(x-3)?

500

Factor of x2-12x+36

What is (x+6)(x-6)

Bonus: What type of quadratics is this?

500
Simplify (4x+3)2

What is 16x2+6x+9?

500
Factor of x2-49

What is (x-7)(x+7)?