Polynomial Operations

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 4
• b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 7

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 20a - 7 
• 5a³ - 9a² - 20a - 7

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

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

(2x + 1)(x - 3)

• -3x - 3
• 2x² + 5x - 3
• 2x² - 5x - 3
• 2x² - 5x +3

What is the degree of the monomial?

• 2
• 4
• 6
• 7

Find the Product:  (x + 1)(x² - x + 1)

• x³ - 1
• x³ + 1
• x³ + 2x² - 2x + 1
• x³ - 2x² + 1

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²
• 7x² - x + 4 (-3x²)
• 21x⁴ + 3x³ + 12x²
• -12x² + 3x³ -21x⁴

(5c-2)(3c²-5c+4)

• 15c³-31c⁴+30c²-8
• 15c³-19c²+10c-8
• 15c³-31c²+30c-8
• 15c³-31c²+30c+8