Which statement justifies that x^2 + 3x - 1 multiplied by 2x^2 - 2x + 1 obeys the closure property of multiplication?

The result 2x^4 - 6x^2 - 1 has a degree of 4.

The result 2x^4 - 6x^2 - 1 is a trinomial.

The result 2x^4 + 4x^3 - 7x^2 + 5x - 1 has a degree of 4.

The result 2x^4 + 4x^3 - 7x^2 + 5x - 1 is a polynomial.

Question

Which statement justifies that x^2 + 3x - 1 multiplied by 2x^2 - 2x + 1 obeys the closure property of multiplication?

 The result 2x^4 - 6x^2 - 1 has a degree of 4.

 The result 2x^4 - 6x^2 - 1 is a trinomial.

 The result 2x^4 + 4x^3 - 7x^2 + 5x - 1 has a degree of 4.

 The result 2x^4 + 4x^3 - 7x^2 + 5x - 1 is a polynomial.

anonymous · Answer

@Luigi0210 @kirbykirby @bibby

math&ing001 · Answer

The closure property for multiplication means that if you multiply 2 polynomials you'll still get a polynomial.

anonymous · Answer

The result 2x^4 + 4x^3 - 7x^2 + 5x - 1 is a polynomial. 
aneswer.

haseeb96 · Answer

C is the correct amswer.