Answer:
The result [tex]6x^4-x^3-19x^2+2x+12[/tex].
is a polynomial.
Step-by-step explanation:
The first polynomial is [tex]3x^2-2x-4[/tex].
The second polynomial is [tex]2x^2+x-3[/tex]
The closure property of multiplication states that if we multiply two polynomials the result must be a polynomial.
The product of these two polynomials is :
[tex](3x^2-2x-4)(2x^2+x-3)=6x^4-x^3-19x^2+2x+12[/tex].
We can see that the result is still a polynomial.
