Question

Which statement shows how two polynomials 5x − 6 and 6x + 2 demonstrate the closure property when multiplied?

Answer 1

Answer:

$30x^2 -26x-12$   is a polynomial

Step-by-step explanation:

Given : Two polynomials are $5x- 6$ and $6x + 2$

To Find: Which statement shows how two polynomials demonstrate the closure property when multiplied?

Solution:

$\Rightarrow (5x- 6) \times (6x + 2)$

$\Rightarrow5x(6x + 2) -6(6x+2)$

$\Rightarrow30x^2 + 10x -36x-12$

$\Rightarrow30x^2 -26x-12$

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.

$30x^2 -26x-12$  is a polynomial

Answer 2

C is the correct choice here.