Answer:
4
Explanation:
From the graph, the roots of the polynomial are -2, 1, and 1.
Therefore, the polynomial P(x) is defined below:
[tex]P(x)=(x+2)(x-1)(x-1)[/tex]When P(x) is divided by x+1, the remainder will be the value of x when x+1=0
When x+1=0
[tex]x=-1[/tex]Therefore:
[tex]\begin{gathered} P(-1)=(-1+2)(-1-1)(-1-1) \\ =1\times-2\times-2 \\ =4 \end{gathered}[/tex]The remainder when P (x) is divided by (x + 1) is 4.
