Question

Add the polynomials:If the result is correct, it will match with the graph on the left.

Answer 1

`8x^3+11x^2-27x+1`

Step-by-step explanation:

To add polynomials, we can only add or subtract between terms that have the same exponent in the x.

We have:

`(7x^3+15x^2-12x)+(x^3-4x^2-15x+1)`

If we group the terms with the same exponent:

`(7x^3+15x^2-12x)+(x^3-4x^2-15x+1)=(7x^3+x^3)+(15x^2-4x^2)+(-12x-15x)+1`

And solve:

`(7x^3+x^3)+(15x^2-4x^2)+(-12x-15x)+1=8x^3+11x^2-27x+1`

And that's the answer