The FOIL Method

Front

What does the FOIL method stand for in binomial multiplication?

Back

FOIL stands for First, Outside, Inside, Last, which are the terms used to multiply two binomials.

Front

How do you apply the FOIL method to (a + b)(c + d)?

Back

Multiply the First terms (a*c), the Outside terms (a*d), the Inside terms (b*c), and the Last terms (b*d), then combine like terms.

Front

What is the result of applying the FOIL method to (x + 7)(x + 9)?

Back

The result is x² + 16x + 63.

Front

What is the result of applying the FOIL method to (2x - 1)(x + 2)?

Back

The result is 2x² + 3x - 2.

Front

What is the result of applying the FOIL method to (3x + 4)(2x + 2)?

Back

The result is 6x² + 14x + 8.

Front

What is the result of applying the FOIL method to (4x + 3)(x + 2)?

Back

The result is 4x² + 11x + 6.

Front

What is the result of applying the FOIL method to (x - 5)(x + 1)?

Back

The result is x² - 4x - 5.

Front

What is the importance of combining like terms in the FOIL method?

Back

Combining like terms simplifies the expression and provides the final polynomial in standard form.

Front

Can the FOIL method be used for polynomials with more than two terms?

Back

No, the FOIL method is specifically designed for multiplying two binomials. For polynomials with more than two terms, other methods like distribution or the box method should be used.

Front

What is the first step in the FOIL method?

Back

The first step is to multiply the First terms of each binomial.