Polynomials

Adding Polynomials

100

(x² - 5) + (x + 1) = ?

x² + x - 4

200

(-2x² - 3x) + (2x + x²) = ?

-x² - x

300

(3a⁴ + 2a³ - 2a² + a + 5) + (4a⁴ - a³ + 5a² - 2a - 4) = ?

7a⁴ + a³ + 3a² - a + 1

400

(3y⁵ + y⁴ + 2y³ -2y + 5) + (2y⁵ + 3y³ + 7y + 2) = ?

5y⁵ + y⁴ + 5y³ + 5y + 7

500

(-12z + 3z - 11z² + 6) + (-7z³ + 17z² - z) = ?

-7z³ + 6z² - 10z + 6

Subtracting Polynomials

100

(4x - 3) - (2x² + 4x - 8) = ? 

-2x² + 5

200

(3x² + 2x - 5) - (5x² - 3x + 2) = ?

-2x² + 5x - 7

300

(2x⁴ - 3x² + 2x - 7) - (3x³ - 5x² + x) = ? 

2x⁴ - 3x³ + 2x² + x - 7

400

5b - (-2b³ + 3b - b² + 11) = ?

2b³ + b² +2b - 11

500

(13a⁶ + a³ - 4) - (-a² + 4a⁴) = ? 

13a⁶ - 4a⁴ +  a³ + a² - 4

Multiplying Polynomials

100

5x (3x² + 2) = ?

15x³ + 10x

200

(x + 3)(x + 2) = ?

x² + 5x + 6

300

(2x + 5)(-4x + 7) = ?

-8x² - 6x + 35

400

(2x - 3)(6x² + 4x + 5) = ?

12x³ -10x² - 2x - 15

500

(x² + 5x + 6)(-4x² + 8x - 1) = ?

-4x⁴ -12x³ + 15x² + 43x - 6

Dividing Polynomials with Long Division

100

(4x² - 5x - 2) / (x - 3) = ?

4x + 7

200

(2x³ - 5x² - 8x + 15) / (x - 3) = ?

2x² + x - 5

300

(6x³ - 8x + 5) / (2x - 4) = ?

3x² + 6x + 8 + (37 / (2x - 4))

400

(2x⁴ + 4x² - 1) / (x + 1) = ?

2x³ - 2x² + 6x - 6 + (5 / (x + 1))

500

(3x⁴ + x³ - 17x² + 19x - 6) / (x² - 2x + 1) = ?

3x² + 7x - 6

Dividing Polynomials with Synthetic Division

100

(2x² - 2x - 4) / (x + 1) = ?

2x - 4

200

(x³ + 3x² - 10x - 24) / (x + 4) = ?

x² - x - 6

300

(3x³ - 2x² - 150) / (x - 4) = ?

3x² + 10x + 40 + (10 / (x+4))

400

(2x⁴ + x³ - 3) / (x + 2) = ?

2x³ - 3x² + 6x - 12 + (21 / (x + 2))

500

(x⁴  - 3x + 5) / (x - 4) = ?

x³ + 4x² + 16x + 61 + (249 / (x - 4))