9. \( 3 t^{8} \) 13. \( \sqrt{7} n^{4} \) 13. \( 6 c^{2}+2 c^{4}-c \) \( \begin{array}{l}\text { 14. } 8 d-2-4 d^{3}\end{array} \)
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Bonus Knowledge
Did you know that polynomials like \( 3t^8 \) or \( \sqrt{7}n^4 \) have been utilized in various fields such as physics and economics to model real-world situations? These mathematical expressions help in curve modeling, predicting trends, and even in calculating trajectories of objects, making them crucial tools in both scientific research and day-to-day problem-solving! When simplifying polynomials such as \( 6c^2 + 2c^4 - c \) or \( 8d - 2 - 4d^3 \), one common mistake is forgetting to combine like terms properly. Always check to see if you can factor out any common factors to make the expression cleaner! For example, in the case of \( 8d - 2 - 4d^3 \), you can factor out a 2 to make further calculations easier!