Adding and Subtracting Polynomials Introduction

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Add or Subtract to Simplify:

(4x²+ x) - (x² -2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Which of the following are examples of like terms?

• 2 and 2x

• y³ and x³

• y and x

• -3x and 3x

What is the standard form of the polynomial,
 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

• 3a² + 2a - 1

• a² + 8a + 7

• 3a² + 8a + 7

• a² + 2a - 1

Add: (3x - 2) + (3x² + 6x)

• 3x² + 9x - 2

• 6x² + 4x

• 3x² + 3x - 2

• 6x² + 6x - 2

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

(3x + 4y - 3z) - (2x - 6y + 7z)

• x + 10y - 10z

• -x +10y - 10z

• x -10y - 10z

• -x -10y - 10z

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24

Combine like terms to simplify:

(5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7