0. Review of Algebra

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. 6x+3x^4

In Exercises 7–14, simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. (x^2−14x+49)/(x^2−49)

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. -7z^5-2z^3+1

In Exercises 15–58, find each product. (x+1)(x^2−x+1)

In Exercises 15–32, multiply or divide as indicated. (6x+9)/(3x−15) ⋅ (x−5)/(4x+6)

In Exercises 15–58, find each product. (2x−3)(x^2−3x+5)

In Exercises 15–58, find each product. (x+7)(x+3)

In Exercises 15–32, multiply or divide as indicated. (x^3−8)/(x^2−4) ⋅ (x+2)/3x

Identify each expression as a polynomial or not a polynomial. For each polynomial, give the degree and identify it as a monomial, binomial, trinomial, or none of these.See Example 1. 5

In Exercises 9–22, multiply the monomial and the polynomial.−4xⁿ (3x²ⁿ − 5xⁿ + 1/2 x)

In Exercises 23–34, find each product using either a horizontal or a vertical format.(x−3)(x²+2x+5)

Add or subtract, as indicated. See Example 2. (5x^2-4x+7) + (-4x^2+3x-5)

Add or subtract, as indicated. See Example 2. (3m^5-3m^2+4) + (-2m^3-m^2+6)

In Exercises 23–34, find each product using either a horizontal or a vertical format.(x−1)(x²+x+1)

In Exercises 15–32, multiply or divide as indicated. (x^2−4)/(x−2) ÷ (x+2)/(4x−8)