Mathematics: Which statement shows how two polynomials 3x + 6 and 5x2 − 4x demonstrate the closure property when multiplied? a: 15x3 + 18x2 − 24x may or may not be a polynomial b: 15x3 + 18x2 − 24x is a polynomial c: 15x3 + 42x2 − 24x may or may not be a polynomial d: 15x3 + 42x2 − 24x is a polynomial

Which statement shows how two polynomials 3x +

sindy35111

04.01.2022

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.

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jc95704816

26.08.2022

A. The relationship is proportional

Step-by-step explanation:

The ratio of boys who have phones is 19:21 and the ratio of girls who have phones is 19:21 because $\frac{190}{210}$ is equal to $\frac{152}{168}$

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