Algebra 2: Factoring

Integers

100

The factors of 15.

What is 1, 3, 5, and 15?

200

The factors of 100.

What is 1, 2, 4, 5, 10, 20, 25, 50, and 100?

300

The factors of 72.

What are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72?

400

The factors of 252.

What are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252?

500

Two factors of 840.

What are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, or 840?

Quadratics

100

Factor a²-2ab+b².

What is (a-b)²?

200

Factor 3x²-6x+9.

What is 3(x²-2x+3)?

300

Factor -15x²-16x-4

What is (-3x-2)(5x+2)?

400

Factor 300x²-60x-45

What is 15(10x+3)(2x-1)?

500

Factor 269x² + 54x - 17.

What is the function is not factorable?

Cubes

100

Factor (a³-b³).

What is (a-b)(a²-2ab-b²)?

200

Factor 2x³ + 6x² + 5x + 15.

What is (2x² + 5)(x + 3)?

300

Factor (x³ + 8).

What is (x + 2)(x² - 2x + 4)?

400

Factor (8x³ - 32).

What is 8(x - 2)(x² + 2x + 4)?

500

Factor (27x³ - 125).

What is (3x - 5)(9x² + 15x + 25)