Polynomial Operations

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

Find the sum.
(5x² -3x + 4) + (6x -3x² - 3)

• 3x² + 2x + 1
• 2x² + 3x +1
• 2x² + 5x - 7
• 3x² + 4x⁵ -7x

(2n + 2)(6n + 1)

• 12n + 2
• 12n² + 2
• 12n² + 12n + 2
• 12n² + 14n + 2

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Factor
r² -16r + 60

• (r - 15)(r + 4)
• (r - 6)(r + 10)
• (r - 6)(r - 10)
• (r +30)(r - 2)

Factor the trinomial.  
p² + 18p + 45

• (p + 3)(p + 6)
• (p + 15)(p + 3)
• (p + 9)(p + 9)
• (p + 12)(p + 6)

Factor:

k² - 16k + 28

• (k + 7)(k + 4)

• (k - 2)(k - 14)

• (k - 7)(k - 4)

• (k - 7)(k + 4)