Problem 23
Identify the coefficient and the degree of each term of each polynomial. Then find the degree of each polynomial. $$ 11-a b c+a^{2} b+0.5 a b^{2} $$
Problem 24
Express using positive exponents and, if possible, simplify. $$5 a^{-7} b^{4}$$
Problem 25
Add $$ \begin{aligned} &0.15 x^{4}+0.10 x^{3}-0.9 x^{2}\\\ &\begin{array}{r} {-0.01 x^{3}+0.01 x^{2}+x} \\ {1.25 x^{4} \quad+0.11 x^{2} \quad+0.01} \\ {0.27 x^{3} \quad+0.99} \\ \hline \end{array} \end{aligned} $$
Problem 27
Combine like terms. $$ 3 x^{2} y-2 x y^{2}+x^{2}+5 x $$
Problem 31
Subtract. $$ (7 x+4)-(2 x+1) $$
Problem 32
Subtract. $$ (5 x+6)-(2 x+4) $$
Problem 32
Express using negative exponents. $$\frac{1}{t^{5}}$$
Problem 35
Classify each polynomial as a monomial, a binomial, a trinomial, or a polynomial with no special name. \(x^{3}-7 x^{2}+2 x-4\)
Problem 37
Classify each polynomial as a monomial, a binomial, a trinomial, or a polynomial with no special name. \(y+5\)
Problem 42
Add or subtract, as indicated. $$ \left(5 a^{2} b+7 a b\right)+\left(9 a^{2} b-5 a b\right)+\left(a^{2} b-6 a b\right) $$