To add the polynomial equation, add or subtract the terms with same power of variable.
Thus addition of the given polynomial using a vertical format is,
[tex]10x^2+2x-9[/tex]
Thus the option 1 is the correct option.
A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
Here, n is any real number.
To add the polynomial equation, add or subtract the terms with same power of variable.
Given information-
The first polynomial equation in the problem is,
[tex]3x^2 +2x - 5[/tex]
The second polynomial equation in the problem is,
[tex]-4 +7x^2[/tex]
Rearrange the above equation as,
[tex]7x^2-4[/tex]
To add in vertical format write down both the polynomial one below another.
The value of variable with same power should be write down the with same power of variable as,
[tex]3x^2 +2x - 5\\7x^2 \;\;\;\;\;\;\;\;\;-4[/tex]
____________
[tex]10x^2+2x-9[/tex]
_____________
Thus, addition of the given polynomial using a vertical format is,
[tex]10x^2+2x-9[/tex]
Thus the option 1 is the correct option.
Learn more about the polynomial equation here;
https://brainly.com/question/2833285