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

A ball is tossed upward from the ground. Its height in feet above ground after t seconds is given by the function ${\displaystyle h\left(t\right)=-16t^2+24t}$. Find the maximum height of the ball and the number of seconds it took for the ball to reach the maximum height.

Three friends Alice, Bond and Charlie divide $1105 among them. When $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received, the share of the sums that they receive is in the ratio of 11 : 18 : 24. What did Charlie receive?

What is ${\displaystyle \frac{\partial }{\partial x_i}(x_i!)}$ where ${\displaystyle x_i}$ is a discrete variable?
Do you consider ${\displaystyle (x_i!)=\left(x_i\right)(x_i-1)\cdots 1}$ and do product rule on each term, or something else?

What is the GCF of the numbers, 36, 14, 21?

How do you write the ' factorization of 316?

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10.
Given: 264

Write as the sum and\or difference of logarithms. Express powers as factors.
${\displaystyle {\log }_4\left(\frac{x+6}{x^7}\right)}$
A. ${\displaystyle {\log }_4(x+6)-{\log }_{4}x}$
B. ${\displaystyle 7{\log }_{4}x-{\log }_4(x+6)}$
C. ${\displaystyle {\log }_4(x+6)-7{\log }_{4}x}$
D. ${\displaystyle {\log }_4(x+6)+7{\log }_{4}x}$