Question

A rectangle has an area of (x^3-x+6) square meters and a width of (x+2) meters. Find its length, in terms of x.

A. (x^2-1)
B. (x^2+3)
C. (x^2-2x+3)
D.(x^3-2x-1)

Answer 1

Since rectangle has the area of its width and height multiplied together, divide area by the length.
\[\frac{ x^3-x+6 }{ x + 2 }\]
I assume you know how to divide polinomial by an another polinomal. So conclusion, you get:
\[x^2 - 2x + 3\]
which is, the answer is C.

Answer 2

Thank you!