2. Given \( f(x)=3 x^{2}+4 x+7 \) and \( g(x)=x+1 \) a) \( (f \circ g)(x) \)

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

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

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 \( 2x^{3} - 6x^{2} + 3x - 9 \).

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