Question

The distance covered by an object is governed by the expression x^3+3x^2+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

(A). x^2+2x (B). x^2+2x-1/x+1 (C). x+2 (D). x^2+1/x+1

Answer 2

@mathmath333 would you mind.

Answer 3

\(\large \begin{align} \color{black}{speed =\dfrac{distance}{time} \hspace{.33em}\\~\\
speed =\dfrac{ x^3+3x^2+2x}{ x + 1} \hspace{.33em}\\~\\
~~~~~~~~~~=\dfrac{x( x^2+3x+2)}{ x + 1} \hspace{.33em}\\~\\
}\end{align}\)

factor

\(\large \begin{align} \color{black}{(x^2+3x+2) \hspace{.33em}\\~\\
}\end{align}\)
and simplify

Answer 4

I got (x+2)(x+1).

Answer 5

yes so substitue that for \(x^2+3x+2\)

Answer 6

\(x+1\) will get cancelled

Answer 7

so A?

Answer 8

\(\Huge \checkmark\)

Answer 9

Thank you much man your a lifesavor.