Adding, Subtracting, & Multiplying Polynomials

Adding Polynomials

100

(5n³ - 2n⁴ + 7n²) + (8n³ - 5n² - 8n⁴)

-10n⁴ + 13n³ + 2n²

200

(2 + 3x⁴ - 4x²) + (7 + 7x² + x)

3x⁴ + 3x² + x + 9

300

(5x² + 8 + 7x³) + (5x⁴ + 8 + 4x³)

5x⁴ + 11x³ + 5x² + 16

400

(2p - 5p³ - 8) + (4p³ - 6p - 4)

-p³ - 4p - 12

500

(5x³ - 3x² + 2x⁴) + (2x + 3x² + 6x⁴)

8x⁴ + 5x³ + 2x

Subtracting Polynomials

100

(7r⁴ + 4 + 6r) - (7r + 8 - 7r⁴)

14r⁴ - r - 4

200

(8 + 7n³ - 6n⁴) - (n⁴ + 5n³ + 6n)

-7n⁴ + 2n³ - 6n + 8

300

(3x² + 2x⁴ + 3x) - (5x² - 5x - 5x⁴)

7x⁴ - 2x² + 8x

400

(m⁴ + m³ + 1) - (4m⁴ - 3 + 6m³)

-3m⁴ - 5m³ + 4

500

(5x³ - x + x⁴) - (6x + 5x³ + 7x⁴)

-6x⁴ - 7x

Multiplying Polynomials

100

(8p + 8)(p + 1)

8p² + 16p + 8

200

(k + 3)(5k + 8)

5k² + 23k + 24

300

(6x - 8)(2x + 4)

12x² + 8x - 32

400

(3a - 6)(3a - 3)

9a² - 27a + 18

500

(2x + 5)(3x - 3)

6x² + 9x - 15

Multiplying Special Polynomials

100

(6n - 7)²

36n² - 84n + 49

200

(6m + 3)²

36m² + 36m + 9

300

(8x + 3)(8x - 3)

64x² - 9

400

(8n - 8)²

64n² - 128n + 64

500

(3 + 8n)(3 - 8n)

9 - 64n²

Riddles

100

What can you hold in your left hand but not in your right?

Your right elbow.

200

What's the only thing you can put in a bucket and make it lighter?

A hole.

300

I'm odd, but take away one letter and I become even. What am I?

The number seven.

400

Where does today come before yesterday?

The dictionary.

500

I have keys but no locks. I have space but no room. You can enter but you can't leave. What am I?

A keyboard.