Question

What is the sum of the polynomials?
(–x2 + 9) + (–3x2 – 11x + 4)

Answer 1

The sum of the polynomials is simply the result of clearing the brackets, grouping like terms and simplifying the terms. Therefore: -x^2 + 9 - 3x^2 - 11x + 4 goes to -4x^2 + 13 - 11x.

Answer 2

Sum of the polynomials is just a matter of combining like terms, with some order of operations.

Given the polynomials :
`(-x^2+9)` and
`(-3x^2-11x+4)`

First arrange the given Polynomial in standard form.

A Standard form of a polynomial means that the term with highest degree is first and each of the following terms

Since the given polynomial are already in standard form i.e,

`-x^2+9` and
`-3x^2-11x+4`

then, the Sum of the polynomials is:

`(-x^2+9)+(-3x^2-11x+4)`

or

`-x^2+9-3x^2-11x+4` [after removing bracket]

Combine like terms:

`-4x^2+9-11x+4`

or

`-4x^2-11x+13`

Therefore, the sum of polynomials of
`(-x^2+9)` and
`(-3x^2-11x+4)` is;
`-4x^2-11x+13`