\( f(x)=5 x+9 ; g(x)=3 x-8 \) (a) Find \( (t-g)(x) \). \[ (t-g)(x)=\square \text { (Simplify your answer.) } \]

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

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

ii) \( x^{3}-2 x^{2}-(2 x-1)(x-2)=0 \)

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

Which of the following is the value of the function \( f(x)=\left|4 x^{2}-8\right|+2 \) given \( \mathrm{x}=2 \) ? a. 8 b. 9 c. 10 d. 11 Evaluate the function \( h(x)=|x|-11 \) given \( x=3.5 \). a. -8 b. 8 c. -9 d. 9 Give the value of the of the function \( c(x)=3 x^{2}-36 \) at \( c(5) \). a. -21 b. 14 c. 111 d. 39