Question

The distance covered by an object is governed by the expression x3 + 3x2 + 2x. If the time taken to cover this distance is given by x + 1, what is the expression that governs the speed of the object?

x2+2x

x2+2x−1x+1

x+2

x2+1x+1

Answer 1

\[ rate=\frac{ distance }{ time }\]\[\frac{ x^3+3x2+2x }{ x+1 }\]\(\color{#0cbb34}{\text{Use synthetic division.}}\)

Answer 2

ditto
or long division if you wish