Question

Select each statement that is true for all polynomials

Answer 1

Answer: When two polynomials are multiplied, the product is always a

polynomial.

Step-by-step explanation:

The only true property for polynomials is the third options because when you do multiply polynomials, you can only get a polynomial.

For instance;

Multiply (5x – 6y) by (7x – 4y)

= (5x – 6y)(7x – 4y)

= 35x² - 20xy - 42xy + 24y²

=  35x² - 62xy + 24y²

The result is a polynomial.

The rest of the options will not always yield polynomials.