Question

What is the remainder when P (x) is divided by (x + 1)?

Answer 1

Answer:

4

Explanation:

From the graph, the roots of the polynomial are -2, 1, and 1.

Therefore, the polynomial P(x) is defined below:

$P(x)=(x+2)(x-1)(x-1)$

When P(x) is divided by x+1, the remainder will be the value of x when x+1=0

When x+1=0

$x=-1$

Therefore:

$\begin{gathered} P(-1)=(-1+2)(-1-1)(-1-1) \\ =1\times-2\times-2 \\ =4 \end{gathered}$

The remainder when P (x) is divided by (x + 1) is 4.