Operations with Polynomials

Adding

100

(-3x+1) + (2x + 4) 

-x + 5

200

(4x² + 5x - 1) + (3x² - 4x + 3) 

7x² + x + 2

300

(-x + 4x - 5) + (-x + 3x - 5) 

5x - 10

400

(-3x + 4) + (4x² + 5x - 6) 

4x² + 2x - 2

500

(3x³ + 4x² - x) + (2x² + 6x + 4x - 5) 

3x³ + 6x² + 9x - 5

Subtracting

100

(2x³-2x) - (x+4)

2x³ - 3x - 4

200

(3x⁴ - 3x² - 3x) - (4x² - 3) 

3x⁴ - 7x² - 3x + 3

300

(4x³ + 3x² - 4x) - (6x³ - 2x² + 7x)

-2x³ + 5x² - 11x 

400

(5x³ + 6x² - 2x) - (5x³ - 6x² + 2x) 

12x² - 4x 

500

(3x⁴ - 5x³ - 2x²) - (3x³ + 2x)

3x⁴ - 8x³ - 2x² - 2x

Multiplying

100

(3x + 1) (2x) 

6x² + 2x

200

3x² (4x + 4)

12x³ + 12x²

300

(2x - 4) (x + 5) 

2x² + 6x - 20 

400

(3x - 1) (3x + 1) 

9x² - 1

500

(4x + 4) (2x + 4) 

8x² + 24x + 16

GCF

100

Write the expression in factored form: 

4x³+4

4(x³ + 1)

200

Write the equation in factored form: 

16x² + 24x

8x (2x + 3) 

300

Write the equation in factored form: 

20x⁴ + 15x³ + 10

5 (4x⁴ + 3x³ + 2) 

400

Write the expression in factored form: 

48x³ +24x²+12x

12x (4x² + 2x + 1) 

500

Write the expression in factored form: 

-30x⁵ + 15x⁴y

-15x⁴ (2x - y) 

Miscellaneous

100

(3x)²

9x²

200

(4x - 2)²

16x² - 16x + 4

300

(4x² - 3)²

16x⁴ - 24x² + 9

400

2(3x-5)²

2(9x² - 30x + 25) 

18x² - 60x + 50

500

2(2x - 4)² + 5

2(4x² - 16x + 16) + 5

8x² - 32x + 32 + 5

8x² - 32x + 37