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Example 1: Factor 3x3 +6x2 + 4x + 8.
3x3 +6x2 -4x - 8 = (3x3 +6x2) + (4x + 8) = 3x2(x + 2) + 4(x + 2) = (3x2 + 4)(x + 2).
Example 2: Factor 45x3 +18x2 - 5x - 2.
45x3 +18x2 -5x - 2 = (45x3 +18x2) - (5x + 2) = 9x2(5x + 2) - 1(5x + 2) = (9x2 - 1)(5x + 2).
This can be further factored as a difference of squares: (9x2 - 1)(5x + 2) = (3x + 1)(3x - 1)(5x + 2).
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