Question

Does the polynomial x^2+2 have any zeros ? If so, find them.

Answer 1

Answer:yes but the zeroes are not real

Step-by-step explanation:

P(x)=x^2+2

p(x)=0 if x is the zero of polynomial

0=x^2+2

x^2=-2

x=+√-2,-√-2

√-1=√i^2 .(i is an imaginary num)

X=√2i^2,-√2i^2

x=√2×i,-√2×i

These are the imaginary zeroes of the p(x)

But here,there exist no real roots for p(x)