Question

Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x. Add: x 5 - 4x 4 + 7x 3 + 8, 9x 3 + 7x 2 - 10, and -2x 5 + 7x 4 - 3x + 8.

Answer 1

`-x^5+3x^4+16x^3+7x^2-3x+6`

Explanation:

Given polynomials are:

`x^5-4x^4+7x^3+8`,
`9x^3+7x^2-10` and
`-2x^5+7x^4-3x+8`

Now we need to add the given polynomials, then place the answer in the proper location on the grid. Also we need to write answer in descending powers of x.

So let's add them by combining like terms:

`x^5-4x^4+7x^3+8+9x^3+7x^2-10-2x^5+7x^4-3x+8`

`-x^5+3x^4+16x^3+7x^2-3x+6`

Hence final answer in descending order is
`-x^5+3x^4+16x^3+7x^2-3x+6`