Answer:
[tex]8x^3+11x^2-27x+1[/tex]
Explanation:
To add polynomials, we can only add or subtract between terms that have the same exponent in the x.
We have:
[tex](7x^3+15x^2-12x)+(x^3-4x^2-15x+1)[/tex]
If we group the terms with the same exponent:
[tex](7x^3+15x^2-12x)+(x^3-4x^2-15x+1)=(7x^3+x^3)+(15x^2-4x^2)+(-12x-15x)+1[/tex]
And solve:
[tex](7x^3+x^3)+(15x^2-4x^2)+(-12x-15x)+1=8x^3+11x^2-27x+1[/tex]
And that's the answer
