Question

The zero of the polynomial x^2+2x+3 is
a)Real
b)Not Real
c)Irrational
d)Rational

Answer 1

Answer:

d) Rational

Explanation:

$0= x^{2}+2x+3\\= x^{2}+3x-x+3\\= x(x+3)-1(x+3)\\=(x-1)(x+3)\\\\x-1=0\\\alpha =x=1\\\\\x+3=0\\\beta =x=-3$

So the most suitable answer looks like Rational because Real numbers include irrational numbers as well.