FOIL Method

Front

What does the FOIL method stand for in algebra?

Back

FOIL stands for First, Outside, Inside, Last, which are the terms used to remember the order of multiplying two binomials.

Front

How do you apply the FOIL method to the expression (x + 2)(x + 3)?

Back

Multiply the First terms: x * x = x^2; Outside terms: x * 3 = 3x; Inside terms: 2 * x = 2x; Last terms: 2 * 3 = 6. Combine to get x^2 + 5x + 6.

Front

What is the result of applying the FOIL method to (x + 5)(x + 4)?

Back

The result is x^2 + 9x + 20.

Front

When using the FOIL method, what do you do with the 'Outside' terms?

Back

You multiply the outer terms of the two binomials.

Front

What is the final result of (2x - 1)(x + 2) using the FOIL method?

Back

The final result is 2x^2 + 3x - 2.

Front

What are the 'Last' terms in the FOIL method?

Back

The 'Last' terms are the last terms of each binomial that you multiply together.

Front

How do you simplify the expression (x - 1)(x - 8) using the FOIL method?

Back

Multiply: First: x*x = x^2; Outside: x*(-8) = -8x; Inside: -1*x = -x; Last: -1*(-8) = 8. Combine to get x^2 - 9x + 8.

Front

What is the result of (x + 7)(x - 2) when applying the FOIL method?

Back

The result is x^2 + 5x - 14.

Front

What is the purpose of the FOIL method in algebra?

Back

The FOIL method is used to multiply two binomials and simplify the expression.

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 (two-term polynomials).