Determine if $P(x)=3 x^3-4 x^2-28 x-16$ has a zero remainder when divided by $x+2$. Determine $Q(x)$.

Simplify the remaining expression completely.

$$\dfrac{x^6y^4}{xy^2}$$

Add or subtract.

$$\frac{5}{c-5}+\frac{9}{c-5}$$

Show that the results of parts (a) and (b) of as we discussed earlier remain true for subgroups $I, J$ of an abelian group A.

What determines the pitch and loudness of sound?

Simplify. $-5 n\left(2 n^2\right)-(-5 n)(8 n)+(-5 n)(4)$

Determine the remainder when $x^{5}-2 x^{4}+x^{3}-x^{2}+3 x+1$ is divided by $x-1$

Graph the system of linear inequalities.
y $\geq$ 0
x $\leq$ 9
x + y < 15
y < x

Solve the system.

$$2(5 a-5 b)=10$$

$$-5(6 a+2 b)=10$$

Find the quotient and remainder if $f(x)$ is divided by $p(x)$.

$$f(x) = 3x^5-4x^3+x+5 ; \quad p(x) = x^3-2x+7$$

Verify each identity.

$$\sin t \tan t = \frac { 1 - \cos ^ { 2 } t } { \cos t }$$

If $2 x+5=-5$ and $3 y+5=-10,$ find the value of $x^{3}-y^{3}$.

Determine each of the following as being either true or false.
If $3 x^2+5 x-8$ is divided by $x-2$, the remainder is 12 .

Find the quotient and remainder. $\left(2 x^{3}+9 x^{2}+11 x+3\right) \div(2 x+3)$