Unit 3 - Operations of Polynomials

Add/Sub Polynomials

100

(8x - x⁴) + (x² - 7x) simplified.

What is -x⁴ + x² + x?

200

(4x - x³) - (-4x² - 7x) simplified.

What is -x³ + 4x² +11x?

300

(8 + 8n⁴ +4n³) + (3n³ - 7n⁴ -6) simplified.

What is n⁴ + 7n³ + 2?

400

(6 + 7n² - n⁴) - (5n - 7n⁴ + 5n²) simplified.

What is 6n⁴ + 2n² - 5n + 6?

500

(8x⁴y³ + 6x²y) - (7x²y + 11x²y⁴ + x³y³) - (-11x⁴y³ + 7x²y⁴) simplified.

What is 19x⁴y³ - 18x²y⁴ - x³y³ -x²y?

Multiplying Polynomials

100

(3n + 6)(3n + 7)

9n² +39n +42

200

(7x + 3)²

49x² + 42x + 9

300

(2p - 6)(7p² + p +3)

14p³ - 40p² - 18

400

(x - 1)(6x² - 5x + 5)

6x³ - 11x² + 10x - 5

500

(2x² - 5x - 8)(8x² + 5x - 1)

16x⁴ - 30x³ - 91x² -35x + 8

Binomial Expansion

100

The row used in Pascal's triangle to help with expanding (x+4)⁷.

What is row 7?

200

The second term of the binomial (x+y)^3.

What is 3x²y?

300

The 3 term of the binomial (3b-2a)⁴.

What is 216b²a²?

400

The expansion of (x-y)⁴.

What is x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴?

500

The expansion of (n³+3m²)⁵.

What is n¹⁵ + 15n¹²m² + 90n⁹m⁴ + 270n⁶m⁶ + 405n³m⁸ + 243m¹⁰?

Division of Polynomials

100

(4b² - 14b - 8) ÷ (b - 4)

What is 4b +2 ?

200

(4a^{3 +} 18a² + 6a - 8) ÷ (a + 4)

4a² + 2a - 2

300

(p³ - 2p² - 32p + 15) ÷ (p + 5)

p² - 7p + 3

400

(7x⁴ + 2x³ + 2x² - 54x + 35) ÷ (7x - 5)

x³ + x² + x - 7 

500

(6n⁴ + 29n³ - 41n² - 5) ÷ (6n - 1)

n³ + 5n² - 6n - 1 - (6/6n-1)