Question

Jessie has a piece of cardboard with length (2 x^2 - 4x + 5) inches and wicth (3x^2 + x - 6)inches. which statement best explains why the area of the cardboard proves the Closure Property?

Answer 1

@AccessDenied

Answer 2

Answers:
A. It is equal to (6x^4 - 10x^3 - x^2 + 29x - 30) square inches, which is also a polynomial like the length and width

B. It is equal to (6x^4 + 2x^3 - 12x^2 - 12x - 30) square inches, which is also a polynomial like the length and width

C. The length mutiplied by the width is equal to the width mutiplied by the length.

D. The length mutiplied by the width has the same defree as the width mutiplied by the length

Answer 3

ugh sorry it took me forever to type

Answer 4

Oh okay. Closure of polynomials. Closure is saying if you multiply two polynomials, you get another polynomial.
The other two options are (C) associative property of multiplication, and (D) true but not necessarily important.

But the not-so-fun part is that you have to expand out this multiplication:
(2 x^2 - 4x + 5) i * (3x^2 + x - 6)
to find out if it is A or B.

Answer 5

really?

Answer 6

so just mutiply

Answer 7

Yeah. Both A and B say the right words, but one has the wrong polynomial.
I'd just start with distributive property:
(2x^2 - 4x + 5) * (3x^2 + x - 6) = 2x^2 (3x^2 + x - 6) - 4x (3x^2 + x - 6) + 5 (3x^2 + x - 6)

Yeah, just multiply these out all the way.

Answer 8

THANK YOU SO MUCH

Answer 9

Glad to help! :)