Exam 10: Polynomials: Operations

The volume of a cylinder with height $h$ and radius $r$ is given by $V=\pi r^{2} h$ . Find the volume of the cylinder. Use 3.14 for $\pi$ .

Subtract. -( $28 x+16 x y-21 y)-(13 x-6 x y-26 y)$

Divide and simplify. - $\frac{(24 \mathrm{x})^{8}}{(24 \mathrm{x})^{9}}$

Multiply. - $(x-8)(2 x-12)$

Write an algebraic expression that represents the total area of the four smaller rectangles. -

Perform the division. - $\frac{x^{4}-625}{x^{2}-25}$

Collect like terms and then arrange in descending order. - $5+7 x^{5}-8 x^{2}+3 x^{5}+3 x^{2}-8$

Solve the problem. -Participants in a memorization experiment were able to recall an average of $D$ digits in $t$ minutes, where $D=-0.4 t^{2}+11 t$ . Use the graph below to estimate the number of digits recalled after 8 minutes.

Add. -

Write the number in scientific notation. -210,000

Express the following using negative exponents. - $\frac{1}{2^{7}}$

Divide - $\frac{56 x^{3}-35 x^{2}-63 x}{7 x}$

Subtract. -

Convert to decimal notation. - $10^{-5}$

Identify the missing terms in the polynomial. - $-3 x^{3}$

Multiply. - $(x-5)\left(9 x^{2}+x+9\right)$

Perform the division. - $\left(x^{2}-81\right) \div(x+9)$

Multiply. - $(4 x-7)(x+12)$

Multiply. - $\left(3 y^{6}+3 y^{4}\right)\left(4 y^{6}+2 y^{4}\right)$

Subtract. -