Polynomials, Factoring

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

5x³ - 6x² + 3x is subtracted from 10x² - 13x + 4

-5x³ + 16x² - 16x + 4

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

Write the following expression as the product of two binomials.

(x+5)(2x+11)+(x+5)(x-2)

3x² + 24x + 45

1AM

100

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

16

200

The result of factoring:
x² + 8x + 12 

(x + 2)(x + 6)

300

The result of factoring:
x² - 6x + 8

(x - 4)(x - 2)

400

The result of factoring:
x² - 10x - 24 

(x - 12)(x + 2)

500

The result of factoring:
x² + 4x + 4 

(x + 2)²

DOTS

100

The result of factoring:
x² - 25

(x - 5)(x + 5)

200

The result of factoring:
16x² - 9

(4x + 3)(4x - 3)

300

100x²-9

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

400

The result of factoring:
256x² - 225

(16x - 15)(16x + 15)

500

The result of factoring:
81x⁸ - 16y⁴

(3x² - 2y)(3x² + 2y)(9x⁴ + 4y²)

Factor Completely

100

3x³ - 75x

3x(x+5)(x-5)

200

5x³-20x

5x(x+2)(x-2)

300

4x² - 36

4(x+3)(x-3)

400

6x³ + 42x -108x

6x(x+9)(x-2)

500

2x⁴ - 24x³ +40x²

2x²(x-10)(x-2)