Multiplying Binomials: Methods and Techniques

This video tutorial by Kirk Wyler from eMath Instruction covers Unit 7, Lesson 3 on multiplying polynomials. It begins with a review of polynomial operations, focusing on multiplying monomials and using the distributive property to multiply polynomials by monomials. The lesson then explores various methods for multiplying binomials, including the standard multiplication algorithm, area models, and the FOIL method. Each method is explained with examples, emphasizing the importance of understanding different approaches to multiplying binomials.

What is the product of 5x^3 and 2x^2?

• 10x^5

• 7x^5

• 10x^6

• 7x^6

When multiplying -3x and -8x, what is the resulting term?

• 24x

• -24x

• 24x^2

• -24x^2

Using the distributive property, what is the product of 2x and (3x + 1)?

• 5x^2 + 2x

• 6x^2 + 2x

• 6x^2 + x

• 5x^2 + 1

What is the result of multiplying -3x by (4x^2 - 2x + 1)?

• -12x^3 - 6x^2 + 3x

• -12x^3 + 6x^2 - 3x

• 12x^3 + 6x^2 - 3x

• 12x^3 - 6x^2 + 3x

Using the standard multiplication algorithm, what is the product of (x - 3) and (x + 8)?

• x^2 + 5x - 24

• x^2 - 5x + 24

• x^2 - 5x - 24

• x^2 + 5x + 24

What is the result of multiplying (2x - 1) and (3x - 7) using the standard algorithm?

• 6x^2 - 17x - 7

• 6x^2 + 17x - 7

• 6x^2 - 17x + 7

• 6x^2 + 17x + 7

Using the area model, what is the product of (x - 4) and (x + 9)?

• x^2 + 5x - 36

• x^2 - 5x - 36

• x^2 + 5x + 36

• x^2 - 5x + 36

What is the result of multiplying (5x - 1) and (x - 2) using the area model?

• 5x^2 + 11x + 2

• 5x^2 - 11x - 2

• 5x^2 + 11x - 2

• 5x^2 - 11x + 2

Using the FOIL method, what is the product of (2x + 7) and (3x + 5)?

• 6x^2 + 29x + 35

• 6x^2 + 17x + 12

• 6x^2 + 29x + 12

• 6x^2 + 17x + 35

What is the result of multiplying (x - 9) and (4x + 5) using the FOIL method?

• 4x^2 - 31x + 45

• 4x^2 + 31x + 45

• 4x^2 - 31x - 45

• 4x^2 + 31x - 45