The area of a rectangle is #(x^3 - 5x^2 + 3x - 15)#, and the width of the rectangle is #(x^2 + 3)#. What is the length of the rectangle?

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Answer 1 · 2016-04-22T12:43:17

Length =#(Area)/(width)=(x^3-5x^2+3x-15)/(x^2+3)#
#=(x(x^2+3)-5(x^2+3))/(x^2+3)=(x(x^2+3))/(x^2+3)-(5(x^2+3))/(x^2+3)#
#=x-5#