Polynomial Algebra Review

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

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

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

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

Simplify each expression. 
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

• 11x⁴  + 2x² + 14x
• 16x⁴  + x² + 14x
• 11x⁴  + x² + 14x
• 11x⁴  + 2x² + 10x

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
(8 p + 7 + 8 p²) - ( p + 4 p⁴ - 6 p²) + (2 p² + p + 1)

• -4 p⁴ + 16 p² + 10 p + 20
• -4 p⁴ + 16 p² + 10 p + 8
• -4 p⁴ + 16 p² + 8 p + 8
• -4 p⁴ + 16 p² + 10 p + 12

Simplify the expression.
(5m³ + 4m³ - 3m) + (8m⁴ + 7m - 6m³) + (5m⁴ - 5m² + 6m)

• 13m⁴ - 2m³ + 5m² + 10m 
• 8m⁴ - 2m³ + 11m² + 10m 
• 8m⁴ - 2m³ + 5m²+ 10m 
• 13m⁴ - 2m³ + 10m

Name each polynomial by degree.
-2k² + 1 - 4k³ - 3k

• Cubic
• Quartic
• Quadratic
• Linear

Name each polynomial by degree.
5b⁴ - 3 + 6b 

• Quadratic
• Linear
• Cubic
• Quartic

Simplify:
5(3x+2)

• 3x+10
• 15x+10
• 15x-10
• 3x-10

Multiply
(x +2)(x + 3)

• x² + 5x + 6
• x² + x + 6
• x² + 5x + 5
• x² + 6x + 6