Question

Write a quadratic polynomial that has two terms and no real zeros.​

Answer 1

Answer:

x² + 1

Can't get a simpler one than that!

Answer 2

Above answer for two terms, this one for 3 term quadratic equation.
Say Discriminant < 0
$b^2-4ac < 0$
$(2)^2-4×2×1 < 0$
From this we obtain,
b=2, a=2,c=1
$\therefore$
$ax^2+bx+c=0$
$2x^2+2x+1=0$
It's zeroes will be:
x=(-2+√-4)/2×2,(-2-√-4)/2×2
x=(-2+2$i$)/4),(-2-2$i$)/4
x=($i$-1)/2,(-$i$-1)/2