FOIL Method and Binomial Multiplication

The video tutorial explains how to multiply two binomials using the FOIL method, which stands for First, Outer, Inner, Last. The instructor provides a detailed explanation of the technique, emphasizing that it only works for binomials. Two examples are worked through step-by-step, demonstrating how to apply the FOIL method and combine like terms to simplify the resulting expression.

What does the acronym FOIL stand for in the context of binomial multiplication?

• First, Outer, Inner, Last

• First, Outer, Inner, Least

• Factor, Outer, Inner, Last

• Factor, Outer, Inner, Least

In which type of mathematical expressions is the FOIL method applicable?

• Trinomials

• Quadrinomials

• Binomials

• Monomials

Why can't the FOIL method be used to multiply a binomial with a trinomial?

• Because FOIL is only defined for binomials

• Because FOIL is only defined for monomials

• Because FOIL is only defined for quadrinomials

• Because FOIL is only defined for trinomials

What is the result of multiplying the first terms in the binomials (x + 2) and (3x + 5) using the FOIL method?

• 3x

• 3x^2

• 5x

• 5x^2

What is the product of the outer terms in the binomials (x + 2) and (3x + 5)?

• 5x

• 3x

• 15x

• 10x

What is the product of the inner terms in the binomials (x + 2) and (3x + 5)?

• 10x

• 3x

• 5x

• 6x

What is the product of the last terms in the binomials (x + 2) and (3x + 5)?

• 5

• 15

• 20

• 10

What is the first step in the FOIL method?

• Multiply the inner terms of each binomial

• Multiply the last terms of each binomial

• Multiply the outer terms of each binomial

• Multiply the first terms of each binomial

What is the second step in the FOIL method?

• Multiply the first terms of each binomial

• Multiply the outer terms of each binomial

• Multiply the last terms of each binomial

• Multiply the inner terms of each binomial

What is the third step in the FOIL method?

• Multiply the last terms of each binomial

• Multiply the outer terms of each binomial

• Multiply the first terms of each binomial

• Multiply the inner terms of each binomial