Select each statement that is true for all polynomials. When two polynomials are added, the sum is always a polynomial.
When two polynomials are divided, the quotient is always a
polynomial.
When two polynomials are multiplied, the product is always a
polynomial.
When two polynomials are subtracted, the difference is always a
polynomial.

The statement which is true for all polynomials is; When two polynomials are multiplied, the product is always a polynomial.

Discussion:

The sum of or difference between two polynomials may not necessarily be a polynomial. This is so because, the addition or subtraction of the polynomials may yield a function other than a polynomial.

The same for division of polynomials in which case the quotient may not always be a polynomial.

However, when two polynomials are multiplied, the product is always a polynomial.

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Option 3

Step-by-step explanation:

Analyzing All Options:

Option 1: Sum of 2 polynomials is always a polynomial;

This isn't always true; Take for instance:

The result in this case isn't a polynomial

Option 2: The quotient of two polynomials is always a polynomial

This isn't always true; Take for instance:

The result in this case isn't a polynomial

Option 3: The multiplication of two polynomials is always a polynomial

This is always true; Take for instance:

Expand this, and you get a polynomial

Option 4: Subtraction of 2 polynomials is always a polynomial;

This isn't always true; Take for instance:

This isn't  a polynomial

Hence;

Option 3 answers the question

it would be 6xy and -16xy.

the answer is c)8

step-by-step explanaction: