Question

Which statement shows how two polynomials 3x + 6 and 5x2 − 4x demonstrate the closure property when multiplied?

Answer 1

Answer:

15x^3+18x^2-24x

Step-by-step explanation:

it is a polynomial

Answer 2

Answer:

$15x^3+18x^2-24x$ is a polynomial.

B is correct

Step-by-step explanation:

Given: $3x+6$ and $5x^2-4x$

There are two polynomial with each has two term.

Using closure property multiplied both polynomial.

• If multiply two polynomial then result must be a polynomial with higher degree of previous two.

Product of $3x+6$ and $5x^2-4x$

$\Rightarrow (3x+6)(5x^2-4x)$

$\Rightarrow 3x\cdot 5x^2-3x\cdot 4x+6\cdot 5x^2-4x\cdot 6$

$\Rightarrow 15x^3-12x^2+30x^2-24x$

Combine the like terms

$\Rightarrow 15x^3+18x^2-24x$

This is a polynomial with degree 3

Hence, The product of $3x+6$ and $5x^2-4x$ is a polynomial.