Question

Add.

(−x^3+26x^2−7x−13)+(6x^4−x^3+8x+27

Answer 1

Answer: 6x^4 - 2x^3 + 26x^2 + x + 14.

Explanation:

Let's add the two polynomials:

(-x^3 + 26x^2 - 7x - 13) + (6x^4 - x^3 + 8x + 27)

First, let's combine like terms:

(-x^3 + 26x^2 - 7x - 13) + (6x^4 - x^3 + 8x + 27)

Rearranging similar terms:

(-x^3 - x^3) + 26x^2 - 7x + 8x - 13 + 27 + 6x^4

Simplifying the equation:

2x^3 + 26x^2 + x - 13 + 27 + 6x^4

Combining the constants:

2x^3 + 26x^2 + x + 14 + 6x^4

So, the sum of (-x^3 + 26x^2 - 7x - 13) and (6x^4 - x^3 + 8x + 27) is 6x^4 - 2x^3 + 26x^2 + x + 14.