Answer:
[tex]\left(2x^3-6x^2-7x-2\right)+\left(x^3+x^2+6x-12\right)=3x^3-5x^2-x-14[/tex]
Step-by-step explanation:
To add the polynomials
Remove parentheses:
[tex]\left(2x^3-6x^2-7x-2\right)+\left(x^3+x^2+6x-12\right)=2x^3-6x^2-7x-2+x^3+x^2+6x-12[/tex]
Group like terms:
[tex]=2x^3+x^3-6x^2+x^2-7x+6x-2-12[/tex]
Add similar elements:
[tex]=3x^3-6x^2+x^2-7x+6x-2-12\\=3x^3-5x^2-7x+6x-2-12\\=3x^3-5x^2-x-2-12\\=3x^3-5x^2-x-14[/tex]
The Standard Form for writing down a polynomial is to put the terms with the highest degree first,its term of 2nd highest is 2nd etc..
In our case the standard form is
[tex]\left(2x^3-6x^2-7x-2\right)+\left(x^3+x^2+6x-12\right)=3x^3-5x^2-x-14[/tex]
