Factoring Polynomials

Factoring whena is 1

100

To factor the trinomial x²+8x+16 you find two numbers that add to 8 but multiply to this...

What is 16?

200

The result of factoring:
x² + 8x + 12 

What is
(x + 2)(x + 6)?

300

The result of factoring:
x² - 6x + 8

What is
(x - 4)(x - 2)?

400

The result of factoring:
x² - 10x - 24 

What is
(x - 12)(x + 2)?

500

The result of factoring:
x² + 4x + 4 

What is
(x + 2)²?

Factoring when a is not 1

100

The result of factoring:
3x² + 20x + 12

What is
(3x+2)(x+6)?

200

The result of factoring:
3x² - 19x - 14 

What is
(3x + 2)(x - 7)?

300

The result of factoring:
4x² + 24x + 32

What is
4(x + 2)(x + 4)?

400

The results of factoring:
8x² + 18x + 9

What is
(4x + 3)(2x + 3)?

500

The result of factoring:
16x² - 8x + 1

What is
(4x - 1)²?

Difference of Squares

100

The result of factoring:
x² - 25

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

200

The result of factoring:
16x² - 9

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

300

100x²-9

(10x-3)(10x+3)

400

The result of factoring:
81x² - 49

What is
(9x - 7)(9x + 7)?

500

The result of factoring:
2x² - 200

What is

2(x - 10)(x + 10)?

Perfect Square Trinomials

100

The result of factoring:
x² + 6x + 9

What is
(x+3)²?

200

The result of factoring:
x² - 20x +100

What is
(x-10)²?

300

The result of factoring:
9x² + 6x + 1

What is
(3x+1)²?

400

The result of factoring:
25x² + 80x + 64

What is
(5x+8)²?

500

The result of factoring:
4x² - 20x + 25

What is
(2x-5)²?