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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?

Respuesta :

Twistie
The answer is x² + 2x.
The distance of an object is governed by the expression x³+3x²+2x. 
Speed goes by speed = distance/time. 
Just take distance and the speed, divide them, and you got x² + 2x.

Hope this helps! :)
Blacklash

Answer:

Expression for speed = x²+2x

Step-by-step explanation:

Speed = Distance/Time

Distance = x³+3x²+2x = x (x²+3x+2) = x (x+1)(x+2)

Time = x+1

Speed [tex]=\frac{x (x+1)(x+2)}{x+1} =x(x+2)=x^2+2x[/tex]

Expression for speed = x²+2x