FOIL method practice worksheet for multiplying binomials.

You’ve uploaded a worksheet titled “Worksheet #1: Use FOIL to Multiply the Binomial”. The task is to multiply each pair of binomials using the FOIL method, which stands for:

> First
> Outer
> Inner
> Last

This means you multiply:
- The First terms in each binomial,
- The Outer terms,
- The Inner terms,
- The Last terms,

…and then combine like terms.

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Let’s solve all 10 problems step by step.

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1. (4x – 7)(x – 3)

- F: 4x * x = 4x²
- O: 4x * (-3) = -12x
- I: -7 * x = -7x
- L: -7 * (-3) = +21

Combine:
4x² – 12x – 7x + 21 = 4x² – 19x + 21

✔ Answer: 4x² – 19x + 21

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2. (4x – 6)(x – 4)

- F: 4x * x = 4x²
- O: 4x * (-4) = -16x
- I: -6 * x = -6x
- L: -6 * (-4) = +24

Combine:
4x² – 16x – 6x + 24 = 4x² – 22x + 24

✔ Answer: 4x² – 22x + 24

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3. (2x + 2)(3x + 5)

- F: 2x * 3x = 6x²
- O: 2x * 5 = 10x
- I: 2 * 3x = 6x
- L: 2 * 5 = 10

Combine:
6x² + 10x + 6x + 10 = 6x² + 16x + 10

✔ Answer: 6x² + 16x + 10

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4. (4x – 2)(3x + 3)

- F: 4x * 3x = 12x²
- O: 4x * 3 = 12x
- I: -2 * 3x = -6x
- L: -2 * 3 = -6

Combine:
12x² + 12x – 6x – 6 = 12x² + 6x – 6

✔ Answer: 12x² + 6x – 6

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5. (x – 1)(2x + 5)

- F: x * 2x = 2x²
- O: x * 5 = 5x
- I: -1 * 2x = -2x
- L: -1 * 5 = -5

Combine:
2x² + 5x – 2x – 5 = 2x² + 3x – 5

✔ Answer: 2x² + 3x – 5

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6. (3x + 2)(4x + 4)

- F: 3x * 4x = 12x²
- O: 3x * 4 = 12x
- I: 2 * 4x = 8x
- L: 2 * 4 = 8

Combine:
12x² + 12x + 8x + 8 = 12x² + 20x + 8

✔ Answer: 12x² + 20x + 8

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7. (3x – 1)(x – 2)

- F: 3x * x = 3x²
- O: 3x * (-2) = -6x
- I: -1 * x = -x
- L: -1 * (-2) = +2

Combine:
3x² – 6x – x + 2 = 3x² – 7x + 2

✔ Answer: 3x² – 7x + 2

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8. (4x + 1)(3x + 2)

- F: 4x * 3x = 12x²
- O: 4x * 2 = 8x
- I: 1 * 3x = 3x
- L: 1 * 2 = 2

Combine:
12x² + 8x + 3x + 2 = 12x² + 11x + 2

✔ Answer: 12x² + 11x + 2

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9. (5x + 3)(3x + 4)

- F: 5x * 3x = 15x²
- O: 5x * 4 = 20x
- I: 3 * 3x = 9x
- L: 3 * 4 = 12

Combine:
15x² + 20x + 9x + 12 = 15x² + 29x + 12

✔ Answer: 15x² + 29x + 12

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10. (3x – 1)(3x + 2)

- F: 3x * 3x = 9x²
- O: 3x * 2 = 6x
- I: -1 * 3x = -3x
- L: -1 * 2 = -2

Combine:
9x² + 6x – 3x – 2 = 9x² + 3x – 2

✔ Answer: 9x² + 3x – 2

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## ✔ Final Answers Summary:

1. 4x² – 19x + 21
2. 4x² – 22x + 24
3. 6x² + 16x + 10
4. 12x² + 6x – 6
5. 2x² + 3x – 5
6. 12x² + 20x + 8
7. 3x² – 7x + 2
8. 12x² + 11x + 2
9. 15x² + 29x + 12
10. 9x² + 3x – 2

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## 💡 Tip:
Always check your signs carefully — especially with negative terms! Also, don’t forget to combine like terms after multiplying.

Let me know if you’d like to see any problem worked out visually or explained differently!