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

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

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)

Find each product. See Examples 3–5. (5m-6)(3m+4)

Find each product. See Examples 3–5. x^2(3x-2)(5x+1)

Find each product. See Examples 3–5. 4x^2(3x63+2x^2-5x+1)

In Exercises 23–34, find each product using either a horizontal or a vertical format.(xy+2)(x²y²−2xy+4)

In Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers.(7x²y − 5xy) + (2x²y − xy)

In Exercises 29–40, add the polynomials. Assume that all variable exponents represent whole numbers.(5x²y + 9xy + 12) + (−3x²y + 6xy + 3)

In Exercises 35–54, use the FOIL method to multiply the binomials.(x+5)(x+8)