## Select each statement that is true for all polynomials. When two polynomials are added, the sum is always a polynomial. When two

Question

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.

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1 week 2021-07-22T14:54:34+00:00 1 Answers 1 views 0

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;