Aultiply $$ (x-4)(2 x+3) $$ using the FOIL method. Select the answer choice howing the FOIL method products. B. $$ (2 x+3)+(x-4)(2 x)+(2 x)(3) $$ C. $$ (x)(2 x)+3(x)+(-4)(2 x)+(-4)(3) $$ D. $$ (x-4)(2 x)+(x-4)(3) $$

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To multiply $$ (x - 4)(2x + 3) $$ using the **FOIL** method, you apply the following steps:

1. **First**: Multiply the first terms in each binomial.
2. **Outer**: Multiply the outer terms.
3. **Inner**: Multiply the inner terms.
4. **Last**: Multiply the last terms in each binomial.

Let's break it down:

1. **First**: $$ x \cdot 2x = 2x^2 $$
2. **Outer**: $$ x \cdot 3 = 3x $$
3. **Inner**: $$ -4 \cdot 2x = -8x $$
4. **Last**: $$ -4 \cdot 3 = -12 $$

Combining these products, we get:
$$ 2x^2 + 3x - 8x - 12 $$
$$ = 2x^2 - 5x - 12 $$

**Matching this process to the answer choices:**

- **Option C** correctly represents the FOIL method by showing each of the four products:
  $$
  (x)(2x) + 3(x) + (-4)(2x) + (-4)(3)
  $$
  
**Therefore, the correct answer is Option C.**

**Answer:**  
C. $$ (x)(2 x)+3(x)+(-4)(2 x)+(-4)(3) $$
The correct answer is Option C: $$ (x)(2x) + 3(x) + (-4)(2x) + (-4)(3) $$.

Aultiply using the FOIL method. Select the answer choice
howing the FOIL method products.
B.
C.
D.

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Aultiply using the FOIL method. Select the answer choice howing the FOIL method products. B. C. D.