## 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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Mathematics
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2021-07-22T14:54:34+00:00
2021-07-22T14:54:34+00:00 1 Answers
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## Answers ( )

Answer: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 polynomialThis isn’t always true; Take for instance:

The result in this case isn’t a polynomialOption 3: The multiplication of two polynomials is always a polynomialThis 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