Final answer:
The quotient of (x^2 + 4x - 5) ÷ (x + 1) is x - 5.
Step-by-step explanation:
To find the quotient of (x^2 + 4x - 5) ÷ (x + 1), we can use long division. Divide the first term of the numerator, x^2, by the first term of the denominator, x. This gives us x as the first term of the quotient. Multiply the entire denominator, x + 1, by x and subtract the result from the numerator.
The resulting expression is -4x - 5.
Repeat the steps with this new expression and continue until there are no more terms in the numerator or the degree of the numerator is less than the degree of the denominator. In this case, the quotient is x - 5, so the correct answer is option A.