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?

Answer 1

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! :)

Answer 2

Expression for speed = x²+2x

Explanation:

Speed = Distance/Time

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

Time = x+1

Speed
`=(x (x+1)(x+2))/(x+1) =x(x+2)=x^2+2x`

Expression for speed = x²+2x