Question

(X+2) is a factor of p(x)=x³+x²+x+2.

Answer 1

mark it brilliant if you like

Answer 2

Answer:

Step-by-step explanation:

(X+2) is a factor of p (x)

So , p (x) ÷ (x+2) = 0

First,

X+2=0

X= -2

P (x)= xa3+xa2+x+2

P (-2)= -2a3-2a2-2+2

As p (x)=0

-2a3-2a2-2+2=0

-2 (a3-a2)=0

A3-a2 = 0

A3=a2

Root both sides

A root(a) = a

Root (a) = a/a

Root a = 1

Square both sides

A = 1