Question

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

Answer 1

B. quotient 3x – 1 and remainder 0

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