1. **State the problem:** Expand the expression $ (5 + w)(w + 4) $ and write it as a polynomial in standard form.
2. **Recall the distributive property (FOIL method):**
$ (a + b)(c + d) = ac + ad + bc + bd $
3. **Apply FOIL to the given expression:**
$ (5 + w)(w + 4) = 5 \cdot w + 5 \cdot 4 + w \cdot w + w \cdot 4 $
4. **Calculate each term:**
$ 5w + 20 + w^2 + 4w $
5. **Combine like terms:**
$ w^2 + (5w + 4w) + 20 = w^2 + 9w + 20 $
6. **Final answer:**
$$ w^2 + 9w + 20 $$
Expand Polynomial A6Ea14
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