Exploring the Lattice Method for Polynomial Multiplication

This video tutorial demonstrates how to multiply polynomials using the lattice method, also known as the box method. The instructor uses an example of multiplying 2x - 3 by x^2 + 5x - 7. The process involves setting up a box with rows and columns representing the terms of the polynomials, multiplying the terms to fill the box, and then combining like terms to arrive at the final product: 2x^3 + 7x^2 - 29x + 21.

What is another name for the lattice method?

• Matrix method

• Box method

• Table method

• Grid method

What are the terms in the first polynomial in the example problem?

• 2x and 3

• 5x and -7

• x^2 and 5x

• 2x and -3

What should you do after listing the terms of the first polynomial?

• Write the terms of the second polynomial

• Multiply the terms

• Draw horizontal lines

• Draw vertical lines

Where do you write the terms of the second polynomial?

• Below the first polynomial

• To the left of the first polynomial

• Inside the boxes

• Above the top line

How many columns are created in the lattice for the example problem?

• Three

• Two

• Four

• Five

What is the result of multiplying 2x and x^2 in the lattice?

• 2x

• x^3

• 2x^3

• 2x^2

What is the result of multiplying 2x and -7 in the lattice?

• -14x

• 14x

• -7x

• 7x

What is the result of multiplying -3 and 5x in the lattice?

• 15x

• -15

• 5x

• -15x

Which terms are combined to get 7x^2 in the final answer?

• 2x^3 and -3x^2

• -15x and 21

• -3x^2 and 10x^2

• 10x^2 and -14x

What is the final constant term in the product of the polynomials?

• -21

• -14

• 21

• 14