Unit 4 Summary Sheet.Oct.20.09.period 1

Unit 4 Summary Sheet.Oct.20.09.period 1 - Unit 4 Summary...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Unit 4 Summary Sheet 4.1 Solving Polynomial Equations: The solution to a polynomial equation f(x) = 0 are the zeros of the corresponding polynomial function, y = f(x) Polynomial equations can be solved using a variety of strategies: - Algebraically using factoring strategy - Graphing using a table of values, transformations, or a graphing calculator Side note: A polynomial function of degree “n” has n roots which may be of the form - Real roots (not all are distinct or different) - Complex roots (which occur in pairs) - Combination of the above Example: Solve the following: 4x³ - 12x² - x + 3 = 0 4x²(x-3) – 1(x-3) = 0 (The first and last two terms have common factor, so factor by grouping) (x -3) (4x² - 1) = 0 (x- 3) (2x – 1) (2x + 1) = 0 (set each of the factors equal to zero to solve) Therefore : x = 3, x = ½, x = -½ 4.2 Solving Linear Inequalities: You can solve a linear inequality using inverse operations in the same way you solve linear equations. -
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.

Page1 / 2

Unit 4 Summary Sheet.Oct.20.09.period 1 - Unit 4 Summary...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online