Polynomial Operations

Multiple Choice

Simplify
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

Multiple Choice

Simplify
(4x³ -3x² + 6x - 4) - (-2x³ + x² -20)

• 4x² - 6x³ - 2x + 6
• 3x + 5x² + 1
• 6X³ -4X² + 6X -2
• 3x + 2

Multiple Choice

Simplify
(r² + s²) – (5r² + 4s²)

• –4r² +5s²
• –4r² – 3s²
• –5r⁴ – 4s⁴
• –4r² + 3s²

Multiple Choice

$$-2y\left(3y^3-5y\right)$$  

• $$-6y^4+10y^2$$  

• $$-5y^4-7y^2$$  

• $$-6y^3+10y$$  

• $$-6y^4-10y^2$$  

Multiple Choice

$$5c^2\left(-3c^2+4c-1\right)$$  

• $$15c^2+20c^3+5c^2$$  

• $$2c^4+9c^3+4c^2$$  

• $$-15c^4+3c^3$$  

• none of the above

Multiple Choice

Simplify: (x + 3) (x + 2)

• x² + 6x + 5
• x² + 5
• x² + 11
• x² + 5x + 6

Multiple Choice

Simplify: (2a - 3) (3a + 1)

• 6a² + 7a - 3
• 6a² + 5a - 3
• 6a² - 7a - 3
• 6a² - 9a + 3

Multiple Choice

Simplify: (x + 1) (x² - 2x + 1)

• x³ - x² -x + 1
• x³ - 2x + 2
• x³ + x² + x + 1
• x³ - 3x² - 3x + 1

Multiple Choice

• 5w ² − 4w + 3
• 12w ² − 9w + 6
• 12w ² − 12w + 9
• 5w ² − 12w+ 9

Multiple Choice

• 5p² - 16p
• 5p + 4
• 5p - 4
• 5p + 4p

Multiple Choice

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x
• 2x⁸-2x²-7x
• 8x⁷-8x-28x
• 2x⁷ -2x -7