One of the factors of \( 2 x^{3}+46 x^{2}+252 x \) is \( (x+b) \), where \( b \) is a positive constant, What is the smallest possible value of \( b \) ? Basic Funcs Trig

1) \( (3 x)\left(2 x^{2}\right) \) 4) \( \left(x^{3}\right)\left(x^{2}+x\right)\left(3 x^{3}\right) \) 7) \( \left(x^{4}+3 x^{3}+2 x^{2}+11 x\right)\left(x^{3}\right) \)

\( \frac{(x-12)}{y}=18 \) where \( y=2 \)

\( 4 \cdot 2^{-\frac{t}{5}}=288 \) Which of the following is the solution of the equation? Choose 1 answer: (A) \( t=-5 \log _{8}(288) \) (B) \( t=-5 \log _{72}(2) \) (C) \( t=-5 \log _{2}(72) \) (D) \( t=-5 \log _{288}(8) \)

\( x y+8=24 \quad \) where \( y=2 \)

\[ y=x^{2}+8 x+18 \] Write your answer as an inequality using \( x \) or \( y \) as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer