Multiplying Polynomials Using the Distributive Property

This video tutorial teaches how to multiply polynomials using the distributive property. It begins with basic examples and progresses to more complex polynomial multiplication, including using the area model. Common misunderstandings are addressed, and a step-by-step guide is provided. The tutorial concludes with advanced examples, demonstrating the versatility of the distribution method for polynomials of any size and degree.

What is the result of distributing 5 across the polynomial (3x + 1)?

• 15x + 3

• 5x + 3

• 3x + 5

• 15x + 5

When using the area model, what is the result of multiplying (3x + 2) and (x - 1)?

• 3x^2 - 2x + 2

• 3x^2 + x - 2

• 3x^2 - x - 2

• 3x^2 + 2x - 1

Why is it incorrect to multiply only like terms in polynomial multiplication?

• It is only applicable to monomials.

• It is a faster method.

• It results in missing terms.

• It simplifies the process.

What is the simplified result of multiplying (3x^2 + 2x + 1) by (4x - 7)?

• 12x^3 - 21x^2 + 8x - 7

• 12x^3 - 13x^2 - 10x - 7

• 12x^3 - 13x^2 + 10x - 7

• 12x^3 + 13x^2 + 10x + 7

What is the final result of multiplying (4x^6 - 3x^2) by (9x^4 + 2x^3 + 10x - 8)?

• 36x^10 + 8x^9 + 40x^7 - 59x^6 - 6x^5 - 30x^3 + 24x^2

• 36x^10 + 8x^9 + 40x^7 - 59x^6 - 6x^5 - 30x^3 + 24

• 36x^10 + 8x^9 + 40x^7 - 32x^6 - 6x^5 - 30x^3 + 24x^2

• 36x^10 + 8x^9 + 40x^7 - 59x^6 - 6x^5 - 30x^3 + 24x