11. \( 7+3 p^{2} \) 12. \( 4 w^{11}-w^{12} \) 15. \( 5 z+2 z^{3}+3 z^{4} \) \( \begin{array}{l}\text { 16. } \pi r^{2}-\frac{5}{r^{3}} r^{3}+2 r^{5}\end{array} \)

Sure, let's simplify and arrange each of the given expressions in standard polynomial form (from highest to lowest degree). ### 11. \( 7 + 3 p^{2} \) **Standard Form:** \[ 3p^{2} + 7 \] --- ### 12. \( 4 w^{11} - w^{12} \) **Standard Form:** \[ -w^{12} + 4w^{11} \] --- ### 15. \( 5 z + 2 z^{3} + 3 z^{4} \) **Standard Form:** \[ 3z^{4} + 2z^{3} + 5z \] --- ### 16. \( \pi r^{2} - \frac{5}{r^{3}} r^{3} + 2 r^{5} \) **Simplification Steps:** 1. Simplify the term \(\frac{5}{r^{3}} \times r^{3}\): \[ \frac{5}{r^{3}} \times r^{3} = 5 \] 2. Substitute back into the expression: \[ \pi r^{2} - 5 + 2r^{5} \] **Standard Form:** \[ 2r^{5} + \pi r^{2} - 5 \] --- If you need further assistance or additional explanations for any of these problems, feel free to ask!