Understanding Binomial Multiplication Using a Table

The video tutorial explains how to multiply two binomials using a table method. It begins by setting up a 2x2 table, placing one binomial on the top and the other on the side. The tutorial walks through the process of multiplying each term in the rows by each term in the columns, combining like terms, and simplifying the expression. Two examples are provided to illustrate the method, showing how to handle different binomials and simplify the results. The video concludes by emphasizing the equivalence of different forms of the final expression.

What is the first step in setting up a table for multiplying two binomials?

• Write both polynomials on the left column.

• Write both polynomials on the top row.

• Write the first polynomial on top and the second on the side.

• Write the second polynomial on top and the first on the side.

How do you calculate the value for each cell in the table?

• Add the terms from the row and column.

• Subtract the terms from the row and column.

• Multiply the terms from the row and column.

• Divide the terms from the row and column.

What is the result of multiplying 2x and 2x in the table?

• 2x

• 4x

• 8x-squared

• 4x-squared

What happens to the like terms -6x and 6x in the product?

• They cancel each other out.

• They add up to 12x.

• They remain unchanged.

• They multiply to -36x.

In the second example, what is written on top of the first two columns?

• 2x plus 3

• 4 minus x

• 9 plus 2x

• 2x minus 3

What is the product of 9 and -x in the second example?

• 9x

• 18x

• -9x

• -18x

What is the simplified form of the product 4 minus x times 9 plus 2x?

• 36 minus x minus 2x-squared

• 36 plus 8x minus 9x minus 2x-squared

• 36 plus x minus 2x-squared

• 36 minus 8x minus 2x-squared

How can the expression 36 minus x minus 2x-squared be rewritten?

• 2x-squared minus x plus 36

• 2x-squared plus x plus 36

• Negative 2x-squared plus x plus 36

• Negative 2x-squared minus x plus 36

What is the result of multiplying 2x and -x in the second example?

• Negative 2x-squared

• 2x-squared

• Negative x-squared

• x-squared

Which of the following expressions is equivalent to the product of 4 minus x and 9 plus 2x?

• 2x-squared minus x minus 36

• Negative 2x-squared plus x minus 36

• 2x-squared plus x plus 36

• Negative 2x-squared minus x plus 36