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

Answer:

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; $-4x^2-11x+13$