Multiplication and Division with Polynomials

Determine the product of (3c)(10c)

• 13c²
• 30c
• 30c²
• 13c

Simplify the expression
7u²v⁵ (9uv³)

• 16u²v⁸
• 63u³v¹⁵
• 63uv⁸
• 63u³v⁸

Determine the simplified form of the expression 5(3x + 2)

• 3x + 10
• 15x + 10
• 15x - 10
• 3x - 10

Simplify the expression.
2x(-2x - 3)

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

Expand 3a(5a² + 8a + 2) using the distributive property.

• 15a³ + 24a² + 6a
• 10a³ + 24a + 6
• 8a³ + 11a² + 6a
• 15a² + 24a + 6

Simplify the following expression using FOIL.
(x + 5)(x + 4)

• x² + x + 20
• x² + 20x + 9
• x² + 9x + 20
• x² - 9x + 54

A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden.

• 6x² + 21x
• 6x² - 21
• 6x²- 21x
• 5x² + 21x

Write a polynomial expression for the area of the triangle: 

• 18x² - 54x
• 9x² + 9
• 36x² + 108x
• 9x² + 27x

Simplify the expression 27a² ÷ -3a

• -9a³
• -9a⁶
• -24a³
• 24a⁶

Determine the quotient of 25x⁵ and 5x³

• 5x
• 5x⁸
• -5x²
• 5x²