Question

check whether (x+ I) is a factor of x³ + x²+x+1​

Answer 1

Answer:

Yes

Step-by-step explanation:

x + 1 = 0

x = -1

Therefore, substituting the value x by -1,

⇒ (-1)³ + (-1)² + (-1) + 1 should be = 0

⇒ -1 + 1 - 1 + 1

⇒ 0

Hence, x + 1 is a factor of the given polynomial.