Final Review

Add the following polynomials:
(6n² - 7n⁴+8) +  (6 + 8n + 4n⁴)

• -3n⁴+ 6n²+8n+14
• -n⁴-2n²+8n+7
• -n⁴ + 6n²+8n+7
• -3n⁴+ 6n²+8n+7

Subtract the following polynomials:
(a³ - 2a²) - (-4a³ + 4a²)

• -5a⁶ - 5a⁴
• 5a³  - 2a²
• -2a³  - 6a²
• 5a³ - 6a²

Subtract the following polynomials:
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9
• 3p³ + 4p² - p + 3
• 4p³ +3p² +16p -10
• 4p³ +3p² + 16p + 10

Find the product:
5xy(6x - y)

• 11x² - y²
• 30x² + y²
• 30x²y - 5xy²
• 11x²y + 5x²y²

Find the product:
2x( -2x - 3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

Use the FOIL method to multiply:
(x+10)(x-10)

• x²  - 100
• x² + 100
• x² + 20x - 100
• x² -20x + 100

Use the FOIL method to multiply:
(x +2)(x + 3)

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

Use the FOIL method to multiply:
(x-7)²

• x²-49
• x²+49
• x²-14x+49
• x²-14x-49

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

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

(4x-2)(4x+2)

• 16x² + 4
• 16x² + 8x + 4
• 16x² - 4
• 16x² + 8x - 4