Factor by grouping.
0 = (x^3 +4x^2) +(9x +36) = x^2(x+4) +9(x+4) = (x^2+9)(x+4)
The first factor is the difference of squares (in complex numbers), so the form for factoring that can be used:
a^2 - b^2 = (a -b)(a +b)
Here, a=x, b=3i.
Then the factorization in complex numbers is
0 = (x -3i)(x +3i)(x +4)
Solutions are the values of x that make these factors be zero.
x = -4, -3i, 3i
5. Volume of sphere = 4/3 x pi xr ^3
Volume = 4/3 x 3.14 x 2^3 = 33.49 cubic feet.
6 . Volume of cylinder = pi x r^2 x height
Volume = 3.14 x 2^2 x 3 = 37.68 cubic meters
<span>35.98 million mi
which becomes 3.598 x 10 ^7</span>
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