Question

question 15(multiple choice worth 1 points) (06.02 mc) the following table shows the length and width of a rectangle.

	length	width

which expression is the result of the perimeter of rectangle a and demonstrates the closure property? 10x + 4, the answer is a polynomial 2x + 4, the answer is a polynomial 10x + 4, the answer may or may not be a polynomial 2x + 4, the answer may or may not be a polynomial you must check the box below prior to submitting your exam!

Explanation:

Step1: Recall perimeter formula

$P = 2(l + w)$ (where $P$ is perimeter, $l$ is length, $w$ is width)

Step2: Substitute length and width

$l=3x + 5$, $w = 2x-3$. So $P=2((3x + 5)+(2x - 3))$

Step3: Simplify inside parentheses

$(3x + 5)+(2x - 3)=3x+2x + 5 - 3=5x+2$

Step4: Multiply by 2

$P = 2(5x+2)=10x + 4$. A polynomial is an expression of the form $a_nx^n+a_{n - 1}x^{n-1}+\cdots+a_1x+a_0$. Here $10x + 4$ is a polynomial.

Answer:

1. $10x + 4$, the answer is a polynomial