Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
And we want to find the remainder after it is divided by the binomial:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:
The remainder will be 6.