What are the roots of the polynomial equation x4+x3=4x2+4x? use a graphing calculator and a system of equations.
a.)–2, –1, 0, 2
b.)–2, 0, 1, 2
c.)–1, 0
d.)0, 1

A. –2, –1, 0, 2

Step-by-step explanation:

Given :

Solution:

(taking x common from the equation)

(taking x+1 common in thye square bracket )

then,

then ,

⇒ ,   ,   ,  

⇒ ,   ,   ,  

So, the roots of the polynomial equation are –2, –1, 0, 2 (option A)