Polynomial Operations and Box Method

The video tutorial demonstrates dividing polynomials using the box method, focusing on a divisor with three terms. The process involves setting up a table with rows corresponding to the terms of the divisor and filling the box with terms from the dividend. The tutorial covers handling terms of different degrees, including fourth, third, and squared terms, and making necessary adjustments to ensure the correct polynomial division.

What is the main focus of the video tutorial?

• Dividing polynomials using the box method

• Multiplying polynomials using the box method

• Adding polynomials using the box method

• Subtracting polynomials using the box method

How many terms does the divisor have in this example?

• Two terms

• One term

• Four terms

• Three terms

What is the first step in setting up the box method?

• Placing the lowest degree term inside the box

• Placing any term inside the box

• Placing the middle degree term inside the box

• Placing the highest degree term inside the box

What is the common factor needed to multiply with 3x squared to get 6x to the fourth?

• 4x

• x squared

• 2x squared

• 3x

What is the result of multiplying 2x squared with 2x?

• 4x squared

• 8x squared

• 4x to the third

• 6x to the third

What adjustment is needed to achieve negative 5x to the third in the box?

• Add 9x to the third

• Subtract 9x to the third

• Subtract negative 9x to the third

• Add negative 9x to the third

What is the next step after adjusting for the third-degree term?

• Calculate the third column

• Calculate the second column

• Calculate the first column

• Calculate the fourth column

What is the result of multiplying 3x squared with negative 3x?

• Negative 9x squared

• Negative 9x to the third

• Positive 9x to the third

• Positive 9x squared

What is the result of multiplying negative 4 with negative 3x?

• Negative 8x

• Positive 12x

• Positive 8x

• Negative 12x

What is the current total of x squared terms before the final adjustment?

• Positive 8x squared

• Negative 14x squared

• Positive 14x squared

• Negative 8x squared