Polynomials, Factoring (omit the last column!)

Adding and Subtracting Polynomials

100

Add the Polynomials

(4x + 9) + (x - 4)

5x + 5

200

Add the polynomials:

(x² +3x + 5) + ( x² +6x)

2x² + 9x + 5

300

Subtract the Polynomials:

(2x² - 3x +11 ) - (x² -2x + 4)

x² - x + 7

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Multiplying Polynomials

100

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

200

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

300

Multiply the Polynomials.

(2x - 6)²

4x² - 24x + 36

400

Multiply the Polynomials:

(x+5)(2x²-5x+8)

2x³+5x²-17x+40

500

Multiply the Polynomials:

(x - 1)(−8x² − 6x − 12 )

-8x³ + 2x² - 6x + 12

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?

Sum and Difference of Cubes

100

The result of factoring:
x³ + 8

(x+2)(x²-2x+4)

200

The result of factoring:
8x³ − 27

(2x − 3)(4x² + 6x + 9)

300

The result of factoring:
8x³ + 64

(2x+4)(4x²-8x+16)

400

The result of factoring:
27x³ − 125

(3x − 5)(9x² + 15x + 25)

500

The result of factoring:
125x³ + 216

(5x + 6)(25x² − 30x + 36)