Question

Please help me out I’m lost

Answer 1

Given:

The function is

`f(x)=2x^4-4x^3+20x-100`

To find:

The remainder if f(x) is divided by (x+11).

Solution:

According to the remainder theorem, if a function f(x) is divided by (x-c), then the remainder is f(c).

On comparing (x+11) and (x-c), we get c=-11.

Using remainder theorem, if a function f(x) is divided by (x+11), then the remainder is f(-11).

Putting x=-11 in the given function.

`f(-11)=2(-11)^4-4(-11)^3+20(-11)-100`

`f(-11)=29282+5324-220-100`

`f(-11)=34606-320`

`f(-11)=34286`

Therefore, the remainder is 34286 when f(x) is divided by (x+11).