Problem
Factor the polynomial \( g^{2}+7 \). Select one: \( (g+i \sqrt{7})^{2} \) \( (g-7)(g+7) \) \( (g-i \sqrt{7})(g+i \sqrt{7}) \) \( (g-7)^{2} \)
Solution
Step 1 ：\(g^2 + 7 = g^2 + 7 - 0g \)
Step 2 ：\(g^2 + 7 = (g^2 - 0g + 7)\)
Step 3 ：\(g^2 + 7 = (g - i \sqrt{7})(g + i \sqrt{7}) \)
