Simplify the expression using long division.

(3x2 - 97x + 32) : (x - 32)

Question 6 options:

A. quotient 3x - 97 and remainder 32

B. quotient 3x - 1 and remainder 0

C. quotient 3x - 1 and remainder - 64

D. quotient 3x + 1 and remainder 64

B. quotient 3x - 1 and remainder 0

Step-by-step explanation:

See below for the long division working. The quotient is 3x-1, and the remainder is 0. This easily checked by multiplying it out:

(3x - 1) (x - 32) = 3x² - 96x - x + 32

= 3x² - 97x + 32