Simplifying (+,-,x) polynomials

Like terms must have...

• The same coefficient
• The same variables
• The same variables and exponents
• The same coefficient, variables, and exponents

Which of the following are examples of like terms?

• 2 and 2x
• y³ and x³
• y and x
• -3x and 3x

Add: (3x - 2) + (3x² + 6x)

• 3x² + 9x - 2
• 6x² + 4x
• 3x² + 3x - 2
• 6x² + 6x - 2

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3
• 4y² + 3y³ - y + 3
• -y⁴ + 2y³ -y - 4
• 4y³ + 3y² -3y + 1

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 
• x + 2
• 2x² + x - 10 
• x - 10 

2x ( -2x -3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

3x (2 + x)

• - 6x - 3x²
• - 6x + 3x²
• 6x - 3x²
• 6x + 3x²

6v(2v + 3)

• 12v+18

• 12v² + 18v

• 15v² + 8v

• 12v² + 18v²

Find the product using

the distributive property.

-8x ( 4x² - 9x + 12)

• -32x² - 72x + 96

• -32x³ - 72x² - 96x

• -32x³ + 72x² - 96

• -32x³ + 72x² - 96x