Question

13 + 10.12 + 131 + 39

Rewrite the expression
12 + 25 + 1
T(I)
(I).
In the form 91x)+la

Answer 1

Option A.

(x + 8) + (–4x + 31) / (x² + 2x + 1)

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)