Question

Which function has a remainder of 9 when divided by x+2

Answer 1

The Solution:

Given the following polynomials:

We are required to determine the polynomial that will have a remainder of 9 when divided by x+2.

We shall apply the remainder theorem below:

`\begin{gathered} x+2=0 \\ \text{Means} \\ x=-2 \end{gathered}`

We shall be looking for the polynomial that will have:

`f(-2)=9`

Testing the option A, we have

`\begin{gathered} f(x)=x^2-5x-14 \\ \text{ So,} \\ f(-2)=(-2)^2-5(-2)-14=4+10-14=0 \\ \text{ Thus, option A is not the solution.} \end{gathered}`

Option B: