Write an expression that represents the width of a rectangle with length x+5 and area +^3+12^2+47x+60

*** Correction in the question: Area = ***

The correct answer is: Width of rectangle (expression) = w =

Explanation:

The area of rectangle is given as follows:

Area.= Width * Length --- (A)

Where,

Area = A =

Length = l = x + 5

Width = w = ?

Plug in the values in equation (A) and solve for Width (w), as follows:

A = l * w

Therefore, the answer is: width =

EXTRA NOTE: I have done synthetic division directly above, but let me explain how I did that.

First you need to guess the value that will yeild the value 0 when you plug in that value in the following equation:

As you can see in the above-mentioned expression that every sign is positive; therefore, the value must be negative so that the values can be cancelled out and give us the result 0.

Let us try the value -1 first:

Let us try the value -2:

Let us try the value -3:

Hence, the one root is x = -3.

Now apply the synthetic division.

-3 |1   12   47   60

         -3  -27  -60

    ---------------------

      1   9   20   0

The expression will now become the following:

And the other one was (x+3) since x = -3 was one root.

Hence

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