1. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Identify, evaluate, add, and subtract polynomials. Classify polynomials and describe the shapes of their graphs. 7.1 An Introduction to Polynomials

2. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Glossary Terms binomial coefficient constant cubic polynomial degree of a monomial degree of a polynomial 7.1 An Introduction to Polynomials linear polynomial monomial polynomial polynomial function standard form of a polynomial trinomial

3. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Classification of a Polynomial by Degree 7.1 An Introduction to Polynomials n = 0constant 3x03x0 n = 1linear5x 1 + 4 n = 2quadratic–x 2 + 11x – 5 n = 3cubic4x 3 – x 2 + 2x – 3 n = 4quartic9x 4 + 3x 3 + 4x 2 – x + 1 n = 5quintic–2x 5 + 3x 4 – x 3 + 3x 2 – 2x + 6 DegreeNameExample

4. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Classify polynomials. 7.1 An Introduction to Polynomials –3x 3 + 3x 2 + 7 3x 2 + 2x 3 – 5x 3 + 7 cubictrinomial

5. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Evaluate, add, and subtract polynomial functions. 7.1 An Introduction to Polynomials f(x) = 3x 3 + 2x 2 – 4x + 1 x = –2 f(–2) = 3(–2) 3 + 2(–2) 2 – 4(–2) + 1 f(–2) = –24 + 8 + 8 + 1 f(–2) = –7

6. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Evaluate, add, and subtract polynomial functions. 7.1 An Introduction to Polynomials (5x 3 + 2.5x 2 – x + 1) – (6x 3 – x 2 + 7x + 4) 5x 3 + 2.5x 2 – x + 1 – 6x 3 + x 2 – 7x – 4 –x 3 + 3.5x 2 – 8x – 3 TOC