Improve Your Algebra Skills with Practice Problems

Write the following expression as a sum and/or difference of logarithms. Express powers as factors: $\ln (\frac{e}{x})$

Table shows the number of cellular phone subscribers in the United States and their average monthly bill in the years from 2000 to 2010.
$\begin{array}{ccc}\text{Year}& \text{Subscribers}& \text{Average Local}\\ & \text{(millions)}& \text{Monthly Bill (\$)}\\ \text{2000}& \text{109.5}& \text{45.27}\\ \text{2001}& \text{128.4}& \text{47.37}\\ \text{2002}& \text{140.8}& \text{48.40}\\ \text{2003}& \text{158.7}& \text{49.91}\\ \text{2004}& \text{182.1}& \text{50.64}\\ \text{2005}& \text{207.9}& \text{49.98}\\ \text{2006}& \text{233.0}& \text{50.56}\\ \text{2007}& \text{255.4}& \text{49.79}\\ \text{2008}& \text{262.7}& \text{50.07}\\ \text{2009}& \text{276.6}& \text{48.16}\\ \text{2010}& \text{300.5}& \text{47.21}\end{array}$
One of the scatter plots clearly suggests a linear model. Use the points at $t=10$ and $t=20$ to find a model in the form $y=mx+b$.

Given ${\displaystyle P\left(x\right)=x^3+5x^2+25x+125}$, find the zeros, real and non-real of P.
The zeros are 5.
Write P in factored form (as a product of linear factors). Be sure to write the full equation, including ${\displaystyle P\left(x\right)=}$.