Question

Find the sum: (x^5 - 2x^4 + 3x^2 - 6) + (3x^4 + 4x^2 + x + 4). Enter your answer as a

polynomial in descending order below, and use the caret (^) for exponents.
For example, you would write 4x2 as 4x^2.

Answer 1

The sum of the two equation is
`x^5 + x^4 + 7x^2 + x -2`

Explanation:

The given two equations are

`(x^5 - 2x^4 + 3x^2 - 6)\\ (3x^4 + 4x^2 + x + 4)`

Now rearranging the two equation in such a way that variables with similar with same power are grouped together -

`x^5 - 2x^4 + 3x^4 + 3x^2 + 4x^2 + x- 6+ 4\\x^5 + x^4 (3-2) + x^2 (3+4) + x -6+4\\x^5 + x^4 + 7x^2 + x -2`