Answer:
Option A.
(x + 8) + (–4x + 31) / (x² + 2x + 1)
Step-by-step explanation:
x³ + 10x² + 13x + 39 / x² + 2x + 1
To rewrite the above expression in the form q(x) + r(x) / b(x), we shall simply divide (x³ + 10x² + 13x + 39) by
(x² + 2x + 1)
Please see attached photo for explanation
From the attached photo,
the quotient q(x) = x + 8
The remainder r(x) = –4x + 31
Divisor b(x) = x² + 2x + 1
Thus,
x³ + 10x² + 13x + 39 / x² + 2x + 1
= (x + 8) + (–4x + 31) / (x² + 2x + 1)
