The area of a rectangle is 5 x cubed 19 x squared 6 x minus 18 with length x 3. Using synthetic division, what is the width of the rectangle? 5 x squared 4 x minus 6 5 x squared 34 x 108 StartFraction 306 Over x 3 EndFraction 5 x cubed 4 x squared minus 6 x 5 x squared 34 x 108 StartFraction 306 Over x minus 3 EndFraction.

Respuesta :

The area of the rectangle is the product of its dimensions.

The width of the rectangle is [tex]5(19x^2 + 6x - 18)[/tex]

How to calculate the width of the rectangle

The area of the rectangle is given as:

[tex]Area = 5x^3(19x^2 + 6x - 18)[/tex]

The length of the rectangle is given as:

[tex]Length =x^3[/tex]

So, we have:

[tex]Area = Length * Width[/tex]

Substitute known values

[tex]5x^3(19x^2 + 6x - 18)= x^3* Width[/tex]

Divide through by x^3

[tex]5(19x^2 + 6x - 18)= Width[/tex]

Rewrite the equation as:

[tex]Width = 5(19x^2 + 6x - 18)[/tex]

Hence, the expression that represents the width of the rectangle is [tex]5(19x^2 + 6x - 18)[/tex]

Read more about areas at:

https://brainly.com/question/14137384

Answer:

the answer is D

Step-by-step explanation:

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