Final answer:
To factor the quadratic g² - 6g - 7, we need to find two numbers that multiply to give -7 and add up to give -6. The factored form of the quadratic is (g - 7)(g + 1).
Step-by-step explanation:
To factor the quadratic g² - 6g - 7, we need to find two numbers that multiply to give -7 and add up to give -6. In this case, those numbers are -7 and 1. Therefore, we can rewrite the quadratic as:
g² - 6g - 7 = (g - 7)(g + 1)
So the factored form of the quadratic is (g - 7)(g + 1).