9. \( 4 x^{2}+7 x-15=0 \)

\( 117)(5 \sqrt{2}+3)(5 \sqrt{2}-3)-(14 \sqrt{3}-1)-7(\sqrt{1,5}-\sqrt{2})^{2} \).

Middle term of expansion \[ \left(3 x-\frac{x^{3}}{6}\right)^{9} \]

Use the Rational Root Theorem to list all possible rational roots of the polynomial \( 2x^{3} - 6x^{2} + 3x - 9 \).

Compute each sum below. If applicable, write your answer as a fraction. \( 2+2(-2)+2(-2)^{2}+\ldots+2(-2)^{7}=\square \) \( \sum_{k=1}^{9}\left(\frac{1}{3}\right)^{k}=\square \)

Find a degree 3 polynomial with real coefficients having zeros 3 and \( 3 i \) and a lead coefficient of 1 . Write \( P \) in expanded form. \( P(x)=\square \)