Algebra 1 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 into 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)(x+4)

300

49 - x²

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

400

x² - 100

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

500

4x² - 49

What is (2x-7)(2x+7).

GCF

100

3x² + 6x

What is 3x(x + 2)

200

5x³ - 125x

What is 5x(x² - 25) = 5x(x+5)(x-5)

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 )

Perfect Square Trinomials

100

x² + 4x + 4

What is (x+2)²?

200

x² -20x + 100

What is (x - 10)²?

300

9x² + 24x + 16

What is (3x + 4)² ?

400

100x² - 140x + 49

What is (10x - 7)²?

500

64x² - 48xy + 9y²

What is (8x - 3y)²?