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:

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