Verified Answer :

W0lf93

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:

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; \(-4x^2-11x+13\)