Problem

Factor the polynomial \( g^{2}+7 \).
Select one:
\( (g+i \sqrt{7})^{2} \)
\( (g-7)(g+7) \)
\( (g-i \sqrt{7})(g+i \sqrt{7}) \)
\( (g-7)^{2} \)

Answer

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Answer

\(g^2 + 7 = (g - i \sqrt{7})(g + i \sqrt{7}) \)

Steps

Step 1 :\(g^2 + 7 = g^2 + 7 - 0g \)

Step 2 :\(g^2 + 7 = (g^2 - 0g + 7)\)

Step 3 :\(g^2 + 7 = (g - i \sqrt{7})(g + i \sqrt{7}) \)

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