14. Multiply and then simplify completely. (1 point each) \( \begin{array}{ll}\text { a. } 6(p-8) & \text { b. }(3 d+10)^{2} \\ \text { c. }(y-2)(y-9) & \end{array} \)

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

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

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

i) \( \frac{1}{x-1}+\frac{1}{x+1}=\frac{2}{x^{2}-1} \)

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. \( P(x)=\square \)