Understanding Binomial Multiplication

The video tutorial explains how to multiply binomials using the FOIL method and repeated distribution. It provides two examples to illustrate the process, showing how each term in the first binomial is distributed into the second binomial to produce four products. The tutorial emphasizes combining like terms to simplify the final expression.

What is the acronym used to multiply two binomials?

• FOIL

• SOIL

• TOIL

• COIL

In the first example, what is the result of x times x?

• x^2

• x^3

• 2x

• x

What is the simplified form of 1/4x - 3/4x?

• 1/2x

• -1/4x

• -1/2x

• 1/4x

What is the final simplified product of the first example?

• x^2 - 1/4x - 3/16

• x^2 + 1/4x + 3/16

• x^2 + 1/2x + 3/16

• x^2 - 1/2x - 3/16

In the second example, what is the result of 2x times 3x?

• 3x^2

• 5x^2

• 6x^2

• 9x^2

What is the result of 2x times -2/5 in the second example?

• 2/5x

• -2/5x

• -4/5x

• 4/5x

What is the result of 3/5 times 3x in the second example?

• 6/5x

• 3/5x

• 9/5x

• 12/5x

What is the result of 3/5 times -2/5 in the second example?

• 3/25

• -3/25

• 6/25

• -6/25

What is the simplified form of -4/5x + 9/5x?

• 5/5x

• 1/5x

• 0

• x

What is the final simplified product of the second example?

• 6x^2 - x + 6/25

• 6x^2 - x - 6/25

• 6x^2 + x - 6/25

• 6x^2 + x + 6/25