Question

The polynomial x^2 – x – 12 factors as (x – 4) (x + 3). What is the quotient of (x^2 – x – 12) / (x – 4). Select one:a. ( x - 4)b. (x + 3)c. (x + 3)d. (x + 4)

Answer 1

Quotient is the result of dividing one term over another term.

The given polynomial is x^2 – x – 12. If its factors are (x – 4) (x + 3), it means that when we multiply these factors, we would get the polynomial. This also means that if we divide the polynomial by one of the factors, the result which is same as the quotient would be the other factor

Therefore, the quotient of

(x^2 – x – 12) / (x – 4) is

(x + 3)