Respuesta :
Answer:
[tex]30x^2 -26x-12[/tex] is a polynomial
Step-by-step explanation:
Given : Two polynomials are [tex]5x- 6[/tex] and [tex]6x + 2[/tex]
To Find: Which statement shows how two polynomials demonstrate the closure property when multiplied?
Solution:
[tex]\Rightarrow (5x- 6) \times (6x + 2)[/tex]
[tex]\Rightarrow5x(6x + 2) -6(6x+2)[/tex]
[tex]\Rightarrow30x^2 + 10x -36x-12[/tex]
[tex]\Rightarrow30x^2 -26x-12[/tex]
Definition of Polynomial : A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non negative integral power is called a polynomial.
So, Option C is true.
[tex]30x^2 -26x-12[/tex] is a polynomial