91Ó°ÊÓ

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

$2c+2$

Simplify the given expression. Assume that no denominator equals zero.

$\frac{−15x^7{y}^8{z}^4}{−45x^3{y}^5{z}^3}$

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

$\frac{−2g}{4h}$

Solve each equation.

$\mathbf{3}\mathit{x}\left(x+2\right)\mathbf{=}\mathbf{3}\left(x^2−2\right)$

Determine whether the given expression is a monomial. Write yes or no.Explain your reasoning.$\frac{\mathbf{5}\mathbf{k}}{\mathbf{10}}$

Simplify the given expression. Assume that no denominator equals zero.

$\frac{{\left(3x^{−1}\right)}^{−2}}{{\left(3x^2\right)}^{−2}}$

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

Money invested in a certificate of deposit$\mathbf{\left(}\mathit{C}\mathit{D}\mathbf{\right)}$earns interest once per year. Suppose you invest1$\mathit{\backslash (}\mathbf{4000}$in a 2-year $\mathit{C}\mathit{D}$.

a. If the interest rate is $\mathbf{5}\mathit{\%}$per year, the expression$\mathbf{4000}{\mathbf{(}\mathbf{1}\mathbf{+}\mathbf{0}\mathbf{.05}\mathbf{)}}^{\mathbf{2}}$can be evaluated to find the total amount of money after two years. Explain the numbers in this expression.

b. Find the amount at the end of two years.

c. Suppose you invest $\mathit{\backslash )}\mathbf{10000}$in a $\mathit{C}\mathit{D}$for 4years at an annual rate of $\mathbf{6}\mathbf{.25}\mathit{\%}$. What is the total amount of money you will have after 4years?