Multiplying Monomials and Polynomials

Multiple Choice

When multiplying polynomials, what is the exponent law you must apply to the variables?

• Multiply the exponents

• Add the exponents

• Divide the exponents

• Subtract the exponents

Multiple Choice

(2n⁴)(6n⁴)

• 8n⁴

• 12n⁸

• 8n¹⁶

• none of the above

Multiple Choice

(-3c²)(10c⁷)

• 13c⁹

• 30c⁵

• 30c⁹

• -30c⁹

Multiple Choice

(6m³n³) (8m²n³)

• 48m⁵n⁹

• 48m⁶n⁶

• 48m⁵n⁶

• none of the above

Multiple Choice

(-4a)(3abc)

• -12abc

• -12bc

• -4a²bc

• -12a²bc

Multiple Choice

Multiply (-7v³)(-10u³v⁵)

• -70u³v⁸

• 17u³v⁸

• 70u³v⁸

• none of the above

Multiple Choice

Simplify

(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Multiple Choice

Simplify
2(4x+5)

• 8x-10
• 8x+10x
• None of the above
• 8x+10

Multiple Select

Simplify:

5(3x+2)

• 3x+10

• 15x+10

• 15x-10

• 3x-10

Multiple Select

5x (2x³+6)

• 10x⁴+30x

• 10x³+30x

• 7x⁴+11x

Multiple Choice

Find the product

$$2x\left(3x^2-5x\right)$$  

• $$6x^3-10x^2$$  

• $$5x^3-7x^2$$  

• $$6x^2-10x$$  

Multiple Choice

5x(4x³ + 8)

• 9x⁴ + 40x
• 20x⁴ + 40x

Multiple Choice

Find the product

$$-3t\left(5t^2+8\right)$$  

• $$-15t^3-24t$$  

• $$2t^3+5t$$  

• $$-15t^2-24t$$  

• $$2t+\frac{5}{t}$$  

Multiple Choice

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶
• 12m⁸ + 8m⁶

Multiple Choice

-3x²(5x² + 3x)

• -15x⁴ - 9x²
• -15x⁴ - 9x³

Multiple Choice

 2x³(x²−2x − 3)

• 2x⁶- 4x³ - 6x³

• 2x⁵−4x⁴ − 6x³

• -2x⁵−4x⁴ − 6x³

• -2x⁶−4x³ − 6x³

Multiple Choice

7y(5y² + 2y + 3)

• 35y³ + 14y² + 21y
• 12y³ + 14y² + 21y

Multiple Choice

-7x(3x² + 4x + 1)

• -10x³ + 11x - 7
• -21x³ - 28x² - 7x

Multiple Choice

$$6t\left(5t^3-2t^2+3t\right)$$  

• $$30t^4-12t^3+18t^2$$  

• $$11t^4+4t^3+9t^2$$  

• $$11t^3+4t^2+18t$$  

• $$30t^3-12t^2+18t$$  

Multiple Choice

Multiply

$$-m\left(3m^2-2m-8\right)$$  

• $$-3m^3+2m^2+8m$$  

• $$3m-2m^2+8$$  

• $$-3m^2+2m+8$$  

• $$2m^3-3m^2-9m$$  

Multiple Choice

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

Multiple Choice

Simplify

$$3x^2y\left(x^4y^3-5x^3y^5+2x^2y^7\right)$$  

• $$3x^6y^4-15x^5y^6+6x^4y^8$$  

• $$3x^6y^4-15x^6y^5+6x^4y^7$$  

• $$3x^6y^4-2x^5y^6+5x^4y^8$$