Respuesta :
Closure property of polynomial multiplication says that the product of two polynomials is also a polynomial.
What is closure property?
According to the closure property of multiplication if f(x) and g(x) be the two polynomials then there product is also a polynomial.
What is polynomial?
A polynomial is an expression that consists of variables, terms, exponents and constants.
Let us consider the two polynomials 3x + 3y + 2 and 4x + 3y + 3
The product of the above polynomial is given by
[tex](3x + 3y + 2) (4x + 3y + 3) = 12x^{2} + 9y^{2} + 6 + 9xy + 9x + 9y + 6y+12xy[/tex]
⇒[tex](3x+ 3y + 2)(4x+3y+3) = 12x^{2} +9y^{2} +21xy+9x+9y +6[/tex]
So, we can see that when we multiply one polynomial with another polynomial means containing more than two terms.
Hence, we can say that under closure property the product of two polynomial is always a polynomial.
Find out more information about closure property here:
https://brainly.com/question/19340450
#SPJ2
