Closure of Polynomials

Which of the following operations are polynomials always closed under? Select ALL the APPLY

• Addition

• Division

• Multiplication

• Subtraction

Which of the following Operations are Polynomials NOT CLOSED under?

• Addition

• Subtraction

• Multiplication

• Division

Polynomials are closed under Addition

• True

• False

Polynomials are closed under multiplication

• True

• False

• 3x³+5x²+3x+15

• 3x³+6x²+3x+16

• 3x³+6x²+3x+15

• 2x³+5x²+2x+16

Polynomials are closed subtraction

• True

• False

A polynomial m is shown.
−9x⁵ + 5x² + 15
Which of the following can be added to m to demonstrate the closure of polynomials under addition?

• 7x⁵ −3x³ + 6^x

• 5x⁵ + 3x + (1/9x)

• 11x⁻⁵ + 8x⁻² + 9

• 10x⁵ + 2x⁴ + 3x

Which of the following statements about closure is NOT true?

• Polynomials are closed under addition.

• Polynomials are closed under subtraction.

• Polynomials are closed under multiplication.

• Polynomials are closed under division.

Which operation, when performed on two polynomials, always results in a polynomial? Select all that apply.

• ADDITION

• DIVISION

• SUBSTRACTION

• MULTIPLICATION