Question

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

Answer 1

4

Step-by-step 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*-2*-2 \\ =4 \end{gathered}`

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