Question

20 points + brainliest = 30 points!

Answer 1

Answer:

see below

Step-by-step explanation:

Addition and subtraction are both closed under polynomials.

That means that when we add and subtract polynomials, we will end up with a polynomial

f(x) + g(x) will =  always be a polynomial when we start with polynomials

f(x) - g(x) will =  always be a polynomial when we start with polynomials

Answer 2

Answer:

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Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients.

$f(x)$ and $g(x)$ are polynomial functions.

Adding polynomials and subtracting polynomials is essentially combining like terms of polynomial expressions.

$f(x)+g(x)$ is always a polynomial

$f(x)-g(x)$ is always a polynomial

If you add, subtract or multiply any two polynomials then the result will be always a polynomial.