Question

Use the FOIL method to find the following product.
left parenthesis x plus 2 right parenthesis left parenthesis x plus 4 right parenthesis
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Part 1
left parenthesis x plus 2 right parenthesis left parenthesis x plus 4 right parenthesis ​=
  
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Answer 1

To find the product \( (x + 2)(x + 4) \) using the FOIL method, we follow these steps:

1. **First**: Multiply the first terms in each binomial:
\[
x \cdot x = x^2
\]

2. **Outer**: Multiply the outer terms in the product:
\[
x \cdot 4 = 4x
\]

3. **Inner**: Multiply the inner terms:
\[
2 \cdot x = 2x
\]

4. **Last**: Multiply the last terms:
\[
2 \cdot 4 = 8
\]

Now, combine all these results together:
\[
x^2 + 4x + 2x + 8
\]

Combine like terms:
\[
x^2 + (4x + 2x) + 8 = x^2 + 6x + 8
\]

So, the final result is:
\[
(x + 2)(x + 4) = x^2 + 6x + 8
\]