Respuesta :
Answer:
x = i, -i
Explanation:
p(x) = x² + 1
To set a polynomial to zero, p(x) = 0.
⇒ x² + 1 = 0
relocate variable
⇒ x² = -1
square root both sides
⇒ x = ±√-1
breakdown
⇒ x = √-1, -√-1
simplify if x = √-a then √a i
⇒ x = i, -i
Answer:
+i , -i
Step-by-step explanation:
Zero of the polynomial:
p(x) =0
x² + 1 = 0
x² = -1
Take square root both sides,
[tex]\sf x = \sqrt{-1}\\\\x =\sqrt{i^2}\\[/tex]
x = ± i
Zeros of the polynomial:
x = +i , -i