Question

Sum of zeros in polynomial x2+4x+7 is

Answer 1

-4

Explanation:

Hello,

let say that
`x_1` and
`x_2` are two zeros of second order polynomial

it can be then be written

`(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1*x_2`

So when we check this expression

`x^2+4x+7`

we can say that the sum of zeros is -4

and the the product of zeros is 7

to note that in this example there are no real root of this equation

`x^2+4x+7=0`

here, the zeros are complex numbers not real ones

if I have to solve it in
`\mathbb{R}` I would say that there are no zeros so their sum is not defined

if I have to solve it in
`\mathbb{C}` I would say that there are two complex roots and their sum is -4

hope this helps