Factoring Polynomials

Factoring GCF

100

2n-4

2(n-2)

200

4n⁹ + 12n

4n(n⁸ + 3n)

300

12n⁵ + 16n³

4n³(3n² + 4)

400

5r + 4r⁴

r(5 + 4r³)

500

72x⁵ - 72x³ - 80x²

8x²(9x³ - 9x - 10)

Factoring a=1

100

x² + 5x + 6

(x + 2)(x + 3)

200

x² - 14y + 24

(x - 12)(x - 2)

300

x² + 8x - 9

(x - 9)(x + 1)

400

x² - x - 56

(x + 8)(x - 7)

500

x² + 11x - 60

(x + 15)(x - 4)

Factoring a=?

100

3x² + x - 2

(3x - 2)(x + 1)

200

2x² + 7x + 3

(2x + 1)(x + 3)

300

2x² - 2x - 4

(x - 2)(2x + 2) OR (2x - 4)(x + 1)

400

5x² + 29x - 6

(x + 6)(5x - 1)

500

6x² - 7x - 20

(3x + 4)(2x - 5)

Factoring Special Cases

100

x² + 14x + 49

*Double points for simplifying*

(x + 7)²

200

x² - 81

(x + 9)(x - 9)

300

x² - 1

(x + 1)(x - 1)

400

4x² - 24x + 36

*Double points for simplifying*

(2x - 6)²

500

16x² - 25

(4x - 5)(4x +5)

Grab Bag

100

The national animal of Australia.

What is the kangaroo?

200

The diameter of a basketball hoop.

What is 18 inches?

300

This president's face is on the dime.

Who is Roosevelt?

400

There are seven wonders of the ancient world, how many are still around today?  Double points for correctly naming which one(s) are still around.

1, the Great Pyramids.

500

This star is the closest one to Earth.

What is the sun?