91Ó°ÊÓ

For each polynomial, first simplify, if possible, and write it in descending powers of the variable. Then give the degree of the resulting pobnomial and tell whether it is a monomial, a binomial, a trinomial, or none of these. $$ 1.2 t^{3}-0.9 t^{3}-0.3 t^{3}+9 $$

Find each product. $$ p(3 p+7)(3 p-7) $$

Perform each division using the "long division" process. $$ \frac{27 r^{4}-36 r^{3}-6 r^{2}+26 r-24}{3 r-4} $$

The special product $$ (x+y)(x-y)=x^{2}-y^{2} $$ $$ \text { can be used to perform some multiplication problems. Here are two examples.} $$ $$ \begin{aligned} 51 \times 49 &=(50+1)(50-1) \\ &=50^{2}-1^{2} \\ &=2500-1^{2} \\ &=2499 \end{aligned} \quad | \begin{aligned} 102 \times 98 &=(100+2)(100-2) \\ &=100^{2}-2^{2} \\ &=10,000-4 \\ &=9996 \end{aligned} $$ Once these patterns are recognized, multiplications of this type can be done mentally. Use this method to calculate each product mentally. $$ 103 \times 97 $$

Add or subtract as indicated. $$ (8 a b+2 a-3 b)-(6 a b-2 a+3 b) $$

Use scientific notation to calculate the answer to each problem. The body of a 150 -lb person contains about \(2.3 \times 10^{-4} 1 b\) of copper. How much copper is contained in the bodies of 1200 such people?

Simplify by writing each expression wth positive exponents. Assume that all variables represent nonzero real numbers. $$ \frac{\left(9^{-1} z^{-2} x\right)^{-1}\left(4 z^{2} x^{4}\right)^{-2}}{\left(5 z^{-2} x^{-3}\right)^{2}} $$

Use scientific notation to calculate the answer to each problem. In 2007 , the state of Minnesota had about \(7.9 \times 10^{4}\) farms with an average of \(3.5 \times 10^{2}\) acres per farm. What was the total number of acres devoted to farmland in Minnesota that year?

Evaluate. $$ 1000(1.53) $$

List all positive integer factors of each number. $$ 18 $$