91Ó°ÊÓ

Review simplifying expressions using the rules for order of operations (Section \(1.8)\) $$ 11-\frac{2+6 \cdot 3+4}{6} $$

The circumference of a circle of radius \(r\) is given by the polynomial \(2 \pi r,\) where \(\pi\) is an irrational number. For an approximation of \(\pi,\) use 3.14. Find the circumference of a circle with radius \(10 \mathrm{cm} .\)

Review simplifying expressions using the rules for order of operations (Section \(1.8)\) $$ (4+3 \cdot 5+5) \div 3 \cdot 4 $$

If the remainder is 0 when one polynomial is divided by another, the divisor is a factor of the divided. Find the value(s) of \(c\) for which \(x-1\) is a factor of each polynomial. $$x^{2}-4 x+c$$

Multiply. Try to recognize the type of product before multiplying. $$3 t^{2}\left(5 t^{3}-t^{2}+t\right)$$

Use a graphing calculator to determine whether each addition or subtraction is correct. \(\left(3 x^{2}-x^{3}+5 x\right)+\left(4 x^{3}-x^{2}+7\right)=\) \(7 x^{3}-2 x^{2}+5 x+7\)

Simplify. If negative exponents appear in the answer, write a second answer using only positive exponents. $$ \frac{\left(2 a^{3}\right)^{3} 4 a^{-3}}{\left(a^{2}\right)^{5}} $$

Simplify. Assume that no denominator is zero and that \(0^{0}\) is not considered. $$ \left(\frac{a}{4}\right)^{3} $$

Simplify. If negative exponents appear in the answer, write a second answer using only positive exponents. $$ \frac{\left(3 x^{2}\right)^{3} 2 x^{-4}}{\left(x^{4}\right)^{2}} $$

Multiply. Try to recognize the type of product before multiplying. $$-5 x^{3}\left(x^{2}+8 x-9\right)$$