Alg1 lesson 8-4
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The document discusses monomials, polynomials, and their degrees. A monomial's degree is the sum of the exponents of its variables. A polynomial is the sum of monomials. The degree of a polynomial is the greatest degree of any term. Examples are provided of finding the degree of polynomials and writing polynomials to represent areas.
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Alg1 lesson 8-4
- 1. The degree of a monomial is the sum of the exponents of all its variables. Monomial Degree 8y4 3a -2xy2z3 16a4b7c2 7416130
- 2. A polynomial is a monomial or the sum of monomials.A binomial has two terms. 3x + 4 7w2z – 6mA trinomial has three terms. 9y2 + 3y – 5 x – 2y + 6z
- 3. The degree of a polynomial is the greatest degree of any term in the polynomial.Find the degree of the polynomial:Degree of term: 0 1 2 3The degree of the polynomial is 3
- 4. Arrange the terms of so that the powers of x are in ascending order. Answer: Ascending means increasing (getting larger)Descending means decreasing (getting smaller)Example 4-4a
- 5. Write a polynomial to represent the area of the green shaded region.2r2rArea of shaded region = area of square – area of circle= (2r)(2r)=Example 4-2c