The area of a rectangle is (x^3-4x^2) square units and the width is (x-4) units. What is the length of the triangle?

Answer 1

Since area equals length times width for a rectangle

Area = length x width

Area/width = length

x³ - 4x²/(x - 4)

You can do the Synthetic Division or just factor out an x² from the area in either case you should get

x² = Length

This can be checked as follows:

x²(x - 4) = x³ - 4x²

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