Factor the irinomial. $$ r^{2}+12 r+32 $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $$ r^{2}+12 r+32=\square $$ (Factor completely.) B. The polynomial is prime.

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To factor the trinomial $$ r^{2} + 12r + 32 $$, we look for two numbers that add up to 12 and multiply to 32.

1. **Identify the pair of numbers:**
   - $$4 + 8 = 12$$
   - $$4 \times 8 = 32$$

2. **Write the factored form:**
   $$
   r^{2} + 12r + 32 = (r + 4)(r + 8)
   $$

**Answer:**

**A.** $$ r^{2}+12 r+32=(r+4)(r+8) $$ (Factor completely.)
$$ r^{2}+12 r+32=(r+4)(r+8) $$

Factor the irinomial. \( r^{2}+12 r+32 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( r^{2}+12 r+32=\square \) (Factor completely.) B. The polynomial is prime.

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