The FOIL Method

Front

What is the FOIL Method?

Back

The FOIL Method is a technique used to multiply two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

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What does 'First' mean in the FOIL Method?

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'First' refers to multiplying the first terms of each binomial together.

Front

What does 'Outside' mean in the FOIL Method?

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'Outside' refers to multiplying the outer terms of the two binomials together.

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What does 'Inside' mean in the FOIL Method?

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'Inside' refers to multiplying the inner terms of the two binomials together.

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What does 'Last' mean in the FOIL Method?

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'Last' refers to multiplying the last terms of each binomial together.

Front

Use the FOIL Method to expand (x + 5)(x + 3). What is the result?

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x^2 + 8x + 15.

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Use the FOIL Method to expand (2x + 3)(3x + 4). What is the result?

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6x^2 + 17x + 12.

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Use the FOIL Method to expand (x + 7)(x - 2). What is the result?

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x^2 + 5x - 14.

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Use the FOIL Method to expand (4x + 3)(x + 2). What is the result?

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4x^2 + 11x + 6.

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Use the FOIL Method to expand (x + 7)(x + 9). What is the result?

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x^2 + 16x + 63.