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The area of a room is represented by the trinomial 3x^2-x-10. If the width of the area is represented by x-2, find the expression that represents the length of the room

Sagot :

Answer:

l = (3x+5)

Step-by-step explanation:

Given that,

The area of a room, [tex]A=3x^2-x-10[/tex]

The width of the room, [tex]b=(x-2)[/tex]

We need to find the length of the room.

The area of the room is given by :

A = lb

[tex]l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)[/tex]

So, the length of the room is equal to (3x+5).

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