What is the sum of the polynomials

Asked by maham237 @ 29/12/2020 in Mathematics viewed by 261 People

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

Answered by maham237 @ 29/12/2020

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:

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

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

Combine like terms:

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

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

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

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