Unit 11: Polynomial Operations

Basics

100

(x⁰)=

1

200

(x²)²

x⁴

300

(x²)(x³)

x⁶

400

2x²+3x²

5x²

500

(x¹⁰)/(x²)

x⁸

Subtracting

100

The difference when (5x-9) is subtracted from (-2x -10)

What is -7x - 1?

200

(x² - 4x + 11) - (8x² - 7x + 2)

What is -7x² - 11x + 13?

300

2(-4x + 15) - 3x(6x + 1)

What is -18x² - 11x + 30?

400

Subtact 2a - 9b from -7a + 12b

What is -9a + 21b?

500

The difference when 6x² - 5x + 2 is subtracted from -7x² + 9

What is -13x² + 5x + 7?

Adding

100

(5a+5b+4) + (-6a)

-a + 5b + 4

200

17x + 2(3x - 8)

What is 23x - 16?

300

4yz + (5yz + 12z³)

What is 9yz + 12z³?

400

(3x + 3y + 2z + 5) + (3x + 3y + 2z + 5)

6x+6y+4z+10

500

(9n³ - 4n² + 2n - 10) + (-2n² + n + 7)

What is 9n³ - 6n² + 3n - 3?

Multiplying

100

(x -8)(2x -4)

What is 2x² -20x + 32?

200

(6x + 2)(10x -1)

What is 60x² +14x - 2?

300

(5x + 8)(5x -8)

What is 25x² - 64?

400

(9a - 4b)(6a + 2b)

What is 54a² -6ab - 8b²?

500

(2x - 4)(7x² - 5x +1)

What is 14x³ - 38x² + 22x - 4?

Dividing

100

(49 x³ y⁸ z) / (7 x y z)

What is 7 x² y⁷ ?

200

(6 a⁴ b² )/ (24 a³ b⁵)

What is a / 4b³

300

The quotient of (70 p⁷ q⁵ r / -10 p⁵ q⁷ r)

What is -7p² / q²

400

(12x³ - 9x² - 3x) / 3x

What is 4x² - 3x - 1?

500

(3x⁴ - x³ + 8x²) / x² 

What is 3x² - x + 8?