Operations on Polynomials

Combine Like Terms:
4y + 3x³ + 2y + 8x³ - 6y

• 11x³

• 11x³ + 12y

• 5x³

• 11x⁶

Combine Like Terms:
2x - 4x + 12x²

• 12x² - 2x

• 10x

• 10x²

• 12x² + 2x

Combine like terms:
5x²+ x - x²+ 4x

• 6x² + 5x

• 4x² + 3x

• 4x² + 5x

• 5x² + 5x

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

Add to Simplify:
 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

Subtract the following polynomials:
(3x²-3x+2) - (x²-2x+1)

• 2x²+x+1

• 2x²-5x+3

• 2x²-x+1

• 4x²-5x+3

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:
-3x²(5x² + 3x)

• -15x⁴ - 9x²

• -15x⁴ - 9x³

• 15x⁴ - 6x³

• -15x⁴ + 9x³

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

• 11x² - y²

• 30x² + y²

• 30x²y - 5xy²

• 11x²y + 5x²y²