By removing the biggest common factor, write in factored form.

$$8 m n^3+24 m^2 n^3$$

Factor the polynomial completely. If the polynomial cannot be factored, say it is prime: $x^2+12 x+36$

What is the output of the following program?

#include <iostream>
#include <cmath>
#include <string>
#include <iomanip>
using namespace std;
int main()
{
 double x, y;
 string str;
 x = 9.0;
 y = 3.2;
 cout << fixed << showpoint << setprecision(2);
 cout << x << "^" << y << " = " << pow(x, y) << endl; 
 cout << "5.0^2.5 = " << pow(5.0, 2.5) << endl;
 cout << "sqrt(48.35) = " << sqrt(48.35) << endl;
 cout << "static_cast<int>(sqrt(pow(y, 4))) = " 
 << static_cast<int>(sqrt(pow(y, 4))) << endl;
 str = "Predefined functions simplify programming code!";
 cout << "Length of str = " << str.length() << endl;
 return 0;
}

Alcohol and other drugs can reduce visual acuity up to what percent?

Multiple Choice Which set of sides does not make a $30^{\circ}-60^{\circ}-90^{\circ}$ triangle?
A $4,8,4 \sqrt{3}$ B $\sqrt{3}, 3,2 \sqrt{3}$ C $3,6,3 \sqrt{3}$ D $2 \sqrt{3}, 4 \sqrt{3}, \sqrt{3}$

Use the given values to find (if possible) the values of the six trigonometric functions of $\theta$ of $\sec \theta=-\frac{\sqrt{122}}{11}, \cot \theta=-11$.

Multiple Choice

$$\lim\limits_{x \rightarrow 0} \frac{\sin (3 x)}{x}=$$

(A) $1 / 3$ (B) 1 (C) 3 (D) $\sin 3$ (E) does not exist

In Exercises, factor each polynomial or expression. If a polynomial is irreducible, state this. (In Exercises, the factoring techniques are specified.)

$$a(x+5)^3+b(x+5)^2$$

Factor the polynomial and use the factored form to find the zeros. Then sketch the graph.

$P(x)=x^3-x^2-6 x$.

If the circumference of a circle is $748 \mathrm{~mm}$, how long is the radius of the circle?

Factor the trinomial. If the trinomial cannot be factored, say so.
4w$^2$ - 13w - 27

Explain the significance of: Chester Nimitz, Douglas MacArthur, Bataan Death March, Corregidor, James Doolittle, periphery, convoy system.

Factor P(x) into first-degree factors. Find the zeros of P(x).

$$P(x)=6 x^3+25 x^2+21 x-10$$

Let $g(x)=\sqrt{2} x+3$. Find all values for the variable $x$ that produce the given values of $g(x)$.

$$g(x)=\sqrt{x^2-5}$$