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

Tags

CCSS.6.EE.A.3

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

• 2x + 10

• 2x + 5

• x + 10

• 2x + 5x

Tags

CCSS.6.EE.A.3

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

• -5n^2

• -5n

• 5n^2

• 5n

Tags

CCSS.6.EE.A.3

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

• 5n

• -10n

• 10n

• -5n

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSA.APR.A.1

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

• 25y^2

• 5y^2

• -25y^2

• -5y^2

Tags

CCSS.6.EE.A.3

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

• 15y

• 45y

• 9y

• 5y

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.7.EE.A.1