Question

find the remainder when f( x) = x³+ 2x +1 is divided by X + 2​

Answer 1

When x³+ 2x +1 is divided by x + 2, the reminder is (–11).

Step-by-step explanation:

Given :

Polynomial = x³ + 2x + 1

Divided by = x + 2

To find:

The remainder when x³+ 2x + 1 is divided by x + 2.

Solution :

f(x) = x³+ 2x + 1

Value of x,

$\longrightarrow$ x + 2 = 0

$\longrightarrow$ x = –2

By reminder theorem,

$\longrightarrow$ f(x) = x³ + 2x + 1

$\longrightarrow$ f(–2) = (–2)³ + 2(–2) + 1

$\longrightarrow$ f(–2) = –8 –4 + 1

$\longrightarrow$ f(–2) = –8 –3

$\longrightarrow$ f(–2) = –11

Remainder = –11

Therefore, when x³+ 2x +1 is divided by x + 2, the reminder is (–11).