Question

Please help me with the question.

Answer 1

Step-by-s
`f(-5)=17`

tep explanation:

Let
`Q(x)` be the quotient of
`(f(x))/(x+5)`.

Let
`R` be the remainder.
`R` is a constant real number because we are dividing by a linear factor,
`x+5`.

`(f(x))/(x+5)=Q(x)+(R)/(x+5)`

Multiply both sides by
`(x+5)`:

`f(x)=Q(x)(x+5)+R`

Substitute
`x=-5`:

`f(-5)=Q(x)(-5+5)+17` (We were given
`R=17` since they did say the remainder is 17.)

`f(-5)=Q(x)(0)+17`

`f(-5)=17`

Answer 2

`f(\boxed{-5})=\boxed{17}`

Explanation:

The remainder theorem tells you that f(a) is the result of division of f(x) by (x-a).

Here, you have f(x)/(x+5) = 17, so a=-5 and f(-5) = 17.