Algebra 1A Factoring (a=1 or GCF)

Definitions

100

A polynomial with just one term.

What is a monomial?

200

A polynomial with two terms.

What is a binomial?

300

A polynomial with three terms.

What is a trinomial?

400

An expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication, ... but not division.

What is a polynomial?

500

The greatest monomial that divides two or more terms.

What is a GCF?

Difference of Squares

100

x² - 9

What is (x-3)(x+3).

200

x² - 16

What is (x-4)(4+4)

300

 x²-49

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

400

2x² - 50

What is 2(x-5)(x+5).

500

-4x² + 81

What is -(2x-9)(2x+9).

GCF

100

3x² + 6x

What is 3x(x + 2)

200

5x³- 125x

What is 5x(x² - 25)

300

4x³ + 6x + 2x²

What is 2x(2x² + 3 + x)

400

6x²y + 9xy²

What is 3xy(2x + 3y)

500

7x²+14x+49

What is 7(x²+2x+7)

Diamond Problems

100

x² − 4x − 5

What is (x − 5)(x + 1)

200

x² + 2x − 15

What is (x − 3)(x + 5)

300

x² + 4x + 4

What is (x + 2)(x + 2) or (x + 2)²

400

3x² - 21x + 132

What is 3(x - 11)(x + 4)

500

-2x² - 10x + 48

What is -2(x − 3)(x + 8 )

Nice & Neat

100

x² + 4x + 4

What is (x+2)(x+2)

200

x² +19x + 84

What is (x +12)(x+7)?

300

-x² - 16x - 28

What is -(x+2)(x+14) ?

400

3x² +27x + 54

What is 3(x+3)(x+6)

500

-5x² - 110x - 600

What is -5(x+12)(x+10)