Question

I need the answers to the question

Answer 1

Given

we have

`P(x)=x^3+2x^2+x+2`

Required

we need to write it in terms of linear factors.

Step-by-step explanation

Here

`\begin{gathered} P(x)=x^3+2x^2+x+2 \\ =x^2(x+2)+x+2 \\ =(x+2)(x^2+1) \\ =(x+2)(x+i)(x-i) \\ so\text{ }P(x)=(x+2)(x+i)(x-i) \\ so\text{ }P(x)=(x+2)(x+√(-1))(x-√(-1)) \\ \end{gathered}`

the answer is (x+2)(x+i)(x-i)