Understanding Multiplication of Monomials and Polynomials

The video tutorial explains how to multiply a monomial by a polynomial using the distributive property. It provides several examples, starting with simple binomials and progressing to more complex polynomials, including trinomial multiplication and handling negative terms and exponents. The tutorial emphasizes understanding the process of distribution and simplifying expressions.

What property is used to multiply a monomial and a polynomial?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

In the expression 2(x + 5), what is the result after distributing the 2?

• 2x + 10

• 2x + 5

• x + 10

• 2x + 5x

When distributing -5n across (n - 2), what is the result of -5n times n?

• -5n^2

• -5n

• 5n^2

• 5n

What is the result of -5n times -2 in the expression -5n(n - 2)?

• 5n

• -10n

• 10n

• -5n

In the expression 5y(3y^3 - 5y + 9), what is the result of 5y times 3y^3?

• 3y^4

• 15y^3

• 15y^4

• 5y^4

What is the result of 5y times -5y in the expression 5y(3y^3 - 5y + 9)?

• 25y^2

• 5y^2

• -25y^2

• -5y^2

In the expression 5y(3y^3 - 5y + 9), what is the result of 5y times 9?

• 15y

• 45y

• 9y

• 5y

What is the result of -2a^2b times 7ab^3 in the expression -2a^2b(7ab^3 - 4)?

• -14a^3b^4

• 14a^2b^3

• -14a^2b^3

• 14a^3b^4

In the expression -2a^2b(7ab^3 - 4), what is the result of -2a^2b times -4?

• 8a^3b

• -8a^3b

• 8a^2b

• -8a^2b

What is the final result of distributing -2a^2b across (7ab^3 - 4)?

• 14a^3b^4 + 8a^2b

• -14a^3b^4 - 8a^2b

• 14a^3b^4 - 8a^2b

• -14a^3b^4 + 8a^2b