Question

Jocelyn wants to buy a tablet so she can watch tv and play games asa well as complete her schoolwork.She is researching all her different option and the tablet she choose says the lenghth is(-5x^2-x-2)cm,and the width is(2x+5)cm what is the area of Joceyln tablet you must show all your work

Answer 1

9514 1404 393

Answer:

-10x^3 -27x^2 -9x -10

Explanation:

The tablet area is the product of its length and width:

A = LW

A = (-5x^2 -x -2)(2x +5) = 2x(-5x^2 -x -2) +5(-5x^2 -x -2)

A = -10x^3 -2x^2 -4x -25x^2 -5x -10

A = -10x^3 +(-2-25)x^2 +(-4 -5)x -10

A = -10x^3 -27x^2 -9x -10 . . . . area of Jocelyn's tablet

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Additional comment

The polynomial describing the length is never positive, so makes no sense as a length value. The only way to obtain a positive area is for both dimensions (length and width) to be negative.