Answer:
The remainder will be 3.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (<em>x</em> + 1).
We can rewrite the binomial as (<em>x</em> - (-1)).
Therefore, <em>a </em>= -1.
Then the remainder will be P(-1).
Looking at the graph, we can see that P(-1) = 3.
Thus, the remainder when P(x) is divided by (<em>x</em> + 1) is 3.
