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

Expert–verified

Hide Steps

Answer

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

Steps

Step 1 ： $g^{2} + 7 = g^{2} + 7 - 0 g$

Step 2 ： $g^{2} + 7 = (g^{2} - 0 g + 7)$

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