The rectangular-shaped landing area of
(x3 + 4x2 + 3x + 12) ft2
is shaded. The dimensions of the landing area can be found by factoring. What are the length and width of the landing area? (Assume x 3.)

ft (smaller value)

ft (larger value)

.

.

.
.

.

Question

The rectangular-shaped landing area of 
(x3 + 4x2 + 3x + 12) ft2
 is shaded. The dimensions of the landing area can be found by factoring. What are the length and width of the landing area? (Assume x > 3.)
 


















ft    (smaller value) 


















ft    (larger value)

 






.

.

.
 .

 .

anonymous · Answer

First factor:
$$ 
\begin{split}

x3 + 4x2 + 3x + 12
&=x^2(x+4)+3x+12\
&=x^2(x+4) + 3(x+4)\
&=(x^2+3)(x+4)

\end{split} $$