Final Answer:
The solutions to the cubic equations are:
1. $6x^3 + 13x^2 - 339x + 270 = 0$ → $x = 5, x = -9, x = \frac{3}{2}$
2. $x^3 + 7x^2 + 10x = 0$ → $x = 0, x = -2, x = -5$
3. $6x^3 - 83x^2 + 305x - 200 = 0$ → $x = 5, x = 8, x = \frac{5}{6}$
4. $x^3 + 16x^2 + 73x + 90 = 0$ → $x = -2, x = -5, x = -9$
5. $x^3 - 8x^2 - 29x + 180 = 0$ → $x = 5, x = 9, x = -4$
6. $5x^3 + 56x^2 + 127x - 140 = 0$ → $x = 1, x = -5, x = -\frac{28}{5}$
7. $5x^3 - 81x^2 + 370x - 336 = 0$ → $x = 3, x = 8, x = \frac{14}{5}$
8. $x^3 + 4x^2 - 28x + 32 = 0$ → $x = 2, x = -8, x = 2$ (double root)
9. $x^3 + 9x^2 + 18x = 0$ → $x = 0, x = -3, x = -6$
10. $x^3 + 17x^2 + 72x = 0$ → $x = 0, x = -8, x = -9$
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Parent Tip: Review the logic above to help your child master the concept of cubic function worksheet.
